Self-reference 1999 computations preserved from deletion by att worldnet's demise. Note: singletons are moved as far forward in the alphabet as possible below. Thus sentences with a z are also pangrams. Computations were done with binary decision diagrams (BDD's). Public domain, distribute freely with or without attribution.

Monday, January 4, 2010

Self-Referential Sentences: Base Four

Self-referential ``this sentence has'' sentences in base four, exhaustive list - there are no others.


1. This sentence has three a's, two c's, twenty two d's, two hundred eleven e's, thirty two h's, thirteen i's, twelve l's, one hundred eleven n's, twenty two o's, thirty r's, one hundred ten s's, one hundred thirty one t's, eleven u's, twelve v's, twenty three w's, and thirteen y's.

2. This sentence has three a's, two c's, twenty two d's, two hundred one e's, thirty h's, eleven i's, ten l's, one hundred twelve n's, twenty two o's, twenty two r's, one hundred ten s's, one hundred thirty t's, eleven u's, ten v's, twenty three w's, and thirteen y's.

3. This sentence has three a's, two c's, twenty two d's, two hundred three e's, thirty two h's, thirteen i's, eleven l's, one hundred eleven n's, twenty two o's, thirty r's, one hundred ten s's, one hundred thirty t's, eleven u's, eleven v's, twenty two w's, and thirteen y's.

4. This sentence has three a's, two c's, twenty two d's, two hundred twenty e's, thirty three h's, twelve i's, eleven l's, one hundred thirteen n's, twenty two o's, thirty one r's, one hundred ten s's, one hundred thirty three t's, eleven u's, eleven v's, twenty three w's, and twenty one y's.

5. This sentence has three a's, two c's, twenty two d's, two hundred two e's, thirty two h's, twelve i's, eleven l's, one hundred three n's, twenty two o's, thirty r's, one hundred ten s's, one hundred thirty t's, eleven u's, eleven v's, twenty three w's, and thirteen y's.

6. This sentence has three a's, one b, two c's, one hundred d's, three hundred ten e's, one f, one g, one hundred eleven h's, eleven i's, one j, one k, three l's, one m, one hundred thirty three n's, thirty three o's, one p, one hundred three r's, one hundred ten s's, one hundred thirteen t's, twenty u's, three v's, three w's, and ten y's.

7. This sentence has three a's, one b, two c's, one hundred d's, three hundred three e's, one f, one g, one hundred h's, three i's, one j, one k, eleven l's, one m, two hundred one n's, one hundred eleven o's, one p, one q, thirty two r's, one hundred ten s's, one hundred one t's, twenty u's, eleven v's, twelve w's, one x, three y's, and one z.

8. This sentence has three a's, one b, two c's, one hundred d's, two hundred thirty e's, one f, one g, one hundred one h's, twelve i's, one j, one k, ten l's, one m, one hundred thirty three n's, one hundred one o's, thirty three r's, one hundred ten s's, one hundred thirteen t's, twenty u's, ten v's, twelve w's, and eleven y's.

9. This sentence has three a's, one b, two c's, one hundred d's, two hundred twenty e's, one f, one g, one hundred h's, eleven i's, one j, one k, three l's, one hundred thirty one n's, one hundred o's, thirty two r's, one hundred ten s's, one hundred thirteen t's, twenty u's, three v's, twenty w's, and twelve y's.

10. This sentence has three a's, one b, two c's, one hundred d's, two hundred twenty e's, one f, one g, one hundred one h's, twelve i's, one j, one k, two l's, one m, one hundred thirty three n's, one hundred ten o's, one p, thirty three r's, one hundred ten s's, one hundred thirty t's, twenty u's, two v's, twenty two w's, and thirteen y's.

11. This sentence has three a's, one b, two c's, one hundred d's, two hundred twenty one e's, one f, one g, one hundred one h's, ten i's, one j, one k, one l, one hundred thirty three n's, one hundred three o's, thirty three r's, one hundred two s's, one hundred twenty three t's, twenty u's, twenty two w's, and twenty y's.

12. This sentence has three a's, one b, two c's, one hundred two d's, three hundred eleven e's, one f, one g, one hundred three h's, three i's, one j, one k, eleven l's, one hundred thirty three n's, one hundred two o's, one hundred one r's, one hundred ten s's, one hundred three t's, twenty one u's, eleven v's, twelve w's, and three y's.

13. This sentence has three a's, one b, two c's, one hundred two d's, two hundred thirteen e's, one f, one hundred three h's, thirteen i's, one hundred thirty one n's, one hundred two o's, one hundred one r's, one hundred two s's, one hundred thirteen t's, twenty one u's, thirteen w's, and three y's.

14. This sentence has three a's, one b, two c's, one hundred two d's, two hundred thirty three e's, one f, one g, one hundred three h's, ten i's, three l's, one hundred thirty three n's, one hundred one o's, one hundred one r's, one hundred ten s's, one hundred eleven t's, twenty one u's, three v's, eleven w's, and ten y's.

15. This sentence has three a's, one b, two c's, thirty d's, two hundred e's, one f, one g, thirty three h's, thirteen i's, one j, two l's, one hundred twenty one n's, one hundred one o's, thirty one r's, one hundred ten s's, one hundred thirty t's, twelve u's, two v's, twenty two w's, and twenty y's.

16. This sentence has three a's, one b, two c's, thirty d's, two hundred eleven e's, one f, one g, thirty two h's, twelve i's, one j, one k, ten l's, one m, one hundred twenty three n's, one hundred o's, one p, thirty r's, one hundred ten s's, one hundred thirty t's, twelve u's, ten v's, twenty two w's, and twenty y's.

17. This sentence has three a's, one b, two c's, thirty d's, two hundred ten e's, one f, one g, one hundred h's, twelve i's, one j, one k, three l's, one hundred twenty n's, thirty three o's, thirty two r's, one hundred ten s's, one hundred thirty one t's, twelve u's, three v's, twenty two w's, and twenty y's.

18. This sentence has three a's, one b, two c's, thirty d's, two hundred three e's, one f, one g, one hundred one h's, thirteen i's, two l's, one hundred twenty n's, thirty three o's, thirty three r's, one hundred ten s's, one hundred thirty one t's, twelve u's, two v's, twenty one w's, and twenty y's.

19. This sentence has three a's, one b, two c's, thirty d's, two hundred twelve e's, one f, one g, thirty three h's, twelve i's, one j, one k, ten l's, one m, one hundred twenty two n's, one hundred o's, thirty one r's, one hundred ten s's, one hundred thirty two t's, twelve u's, ten v's, twenty three w's, and twenty y's.

20. This sentence has three a's, one b, two c's, thirty two d's, one hundred thirty three e's, one f, one hundred two h's, twenty i's, one hundred thirteen n's, thirty three o's, one hundred r's, one hundred two s's, one hundred thirty two t's, thirteen u's, twenty two w's, and twenty y's.

21. This sentence has three a's, one b, two c's, thirty two d's, three hundred e's, one f, one g, one hundred one h's, twelve i's, one j, one k, eleven l's, one m, one hundred thirty three n's, one hundred one o's, one p, thirty three r's, one hundred ten s's, one hundred eleven t's, thirteen u's, eleven v's, ten w's, and ten y's.

22. This sentence has three a's, one b, two c's, thirty two d's, three hundred one e's, one f, one g, one hundred h's, eleven i's, one j, one k, eleven l's, one m, two hundred n's, one hundred ten o's, one p, one q, thirty two r's, one hundred ten s's, one hundred three t's, thirteen u's, eleven v's, eleven w's, one x, three y's, and one z.

23. This sentence has three a's, one b, two c's, thirty two d's, three hundred one e's, one f, one g, one hundred one h's, twelve i's, one j, one k, ten l's, one m, two hundred one n's, one hundred eleven o's, one p, one q, thirty three r's, one hundred ten s's, one hundred thirteen t's, thirteen u's, ten v's, twelve w's, one x, three y's, and one z.

24. This sentence has three a's, one b, two c's, thirty two d's, two hundred eleven e's, one f, one g, one hundred one h's, twenty i's, one j, one k, two l's, one hundred thirty one n's, one hundred ten o's, thirty three r's, one hundred ten s's, one hundred thirty two t's, thirteen u's, two v's, twenty two w's, and thirteen y's.

25. This sentence has three a's, one b, two c's, thirty two d's, two hundred one e's, one f, one g, one hundred h's, thirteen i's, two l's, one hundred twenty one n's, one hundred two o's, thirty two r's, one hundred ten s's, one hundred thirty t's, thirteen u's, two v's, twenty three w's, and twelve y's.

26. This sentence has three a's, one b, two c's, thirty two d's, two hundred ten e's, one f, one g, one hundred one h's, twenty i's, one j, one k, one l, one m, one hundred thirty two n's, one hundred ten o's, one p, thirty three r's, one hundred two s's, one hundred thirty t's, thirteen u's, twenty w's, and thirteen y's.

27. This sentence has three a's, one b, two c's, thirty two d's, two hundred three e's, one f, one hundred one h's, thirteen i's, two l's, one hundred twenty one n's, one hundred one o's, thirty three r's, one hundred ten s's, one hundred thirty t's, thirteen u's, two v's, twenty two w's, and twelve y's.

28. This sentence has three a's, one b, two c's, thirty two d's, two hundred twelve e's, one f, one g, one hundred two h's, thirteen i's, three l's, one hundred twenty n's, thirty three o's, one hundred r's, one hundred ten s's, one hundred thirty one t's, thirteen u's, three v's, twenty two w's, and twelve y's.

29. This sentence has three a's, one b, two c's, thirty two d's, two hundred twenty e's, one f, one g, one hundred one h's, twenty i's, one j, one k, one l, one m, two hundred one n's, one hundred thirteen o's, one p, one q, thirty three r's, one hundred two s's, one hundred thirty t's, thirteen u's, one v, twenty one w's, and thirteen y's.

30. This sentence has three a's, one b, two c's, thirty two d's, two hundred twenty one e's, one f, one g, one hundred one h's, thirteen i's, one j, one k, one l, one m, two hundred one n's, one hundred twenty o's, one p, one q, thirty three r's, one hundred two s's, one hundred thirty two t's, thirteen u's, one v, twenty three w's, and twenty y's.

31. This sentence has three a's, one b, two c's, twenty two d's, two hundred eleven e's, one f, one g, thirty two h's, thirteen i's, twelve l's, one hundred twelve n's, thirty o's, thirty r's, one hundred ten s's, one hundred thirty one t's, eleven u's, twelve v's, twenty three w's, and twenty y's.

32. This sentence has three a's, one b, two c's, twenty two d's, two hundred eleven e's, one f, one g, thirty two h's, twelve i's, ten l's, one hundred twenty one n's, thirty two o's, thirty r's, one hundred ten s's, one hundred thirty three t's, eleven u's, ten v's, twenty three w's, and twenty one y's.

33. This sentence has three a's, one b, two c's, twenty two d's, two hundred ten e's, thirty three h's, twelve i's, three l's, one hundred twenty n's, thirty one o's, thirty one r's, one hundred ten s's, one hundred thirty one t's, eleven u's, three v's, twenty one w's, and twenty one y's.

34. This sentence has three a's, one b, two c's, twenty two d's, two hundred ten e's, one f, one g, thirty h's, eleven i's, twelve l's, one hundred twelve n's, twenty three o's, twenty two r's, one hundred ten s's, one hundred thirty t's, eleven u's, twelve v's, thirty w's, and twenty y's.

35. This sentence has three a's, one b, two c's, twenty two d's, two hundred ten e's, one f, one g, thirty one h's, twelve i's, twelve l's, one hundred twelve n's, thirty two o's, twenty three r's, one hundred ten s's, one hundred thirty two t's, eleven u's, twelve v's, thirty one w's, and twenty y's.

36. This sentence has three a's, one b, two c's, twenty two d's, two hundred three e's, one f, one g, thirty two h's, thirteen i's, eleven l's, one hundred twelve n's, thirty o's, thirty r's, one hundred ten s's, one hundred thirty t's, eleven u's, eleven v's, twenty two w's, and twenty y's.

37. This sentence has three a's, one b, two c's, twenty two d's, two hundred twelve e's, one f, thirty two h's, eleven i's, ten l's, one hundred twenty n's, twenty three o's, thirty r's, one hundred ten s's, one hundred thirty three t's, eleven u's, ten v's, twenty three w's, and twenty one y's.

38. This sentence has three a's, one b, two c's, twenty two d's, two hundred twenty e's, one f, one g, thirty three h's, twelve i's, eleven l's, one hundred twenty n's, thirty o's, thirty one r's, one hundred ten s's, one hundred thirty three t's, eleven u's, eleven v's, twenty three w's, and twenty two y's.

39. This sentence has three a's, one b, two c's, twenty two d's, two hundred twenty one e's, thirty three h's, twelve i's, eleven l's, one hundred twenty one n's, thirty one o's, thirty one r's, one hundred ten s's, one hundred thirty three t's, eleven u's, eleven v's, twenty three w's, and twenty two y's.

40. This sentence has three a's, one b, two c's, twenty two d's, two hundred two e's, thirty two h's, twelve i's, ten l's, one hundred eleven n's, twenty three o's, thirty r's, one hundred ten s's, one hundred thirty two t's, eleven u's, ten v's, twenty three w's, and thirteen y's.

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