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 Ten

Self-referential ``this sentence contains'' sentences in decimal, exhaustive list - there are no others.


1. This sentence contains three a's, three c's, two d's, twenty seven e's, four f's, two g's, ten h's, eight i's, thirteen n's, six o's, ten r's, twenty five s's, twenty three t's, three u's, three v's, six w's, three x's, and four y's.

2. This sentence contains three a's, one b, three c's, two d's, thirty e's, four f's, two g's, eight h's, nine i's, one j, one k, one l, one m, twenty one n's, thirteen o's, seven r's, twenty three s's, twenty one t's, two u's, five v's, seven w's, and five y's.

3. This sentence contains three a's, one b, three c's, two d's, thirty e's, two f's, two g's, nine h's, nine i's, one j, one k, one l, one m, twenty two n's, thirteen o's, one p, seven r's, twenty one s's, twenty three t's, three v's, eight w's, and five y's.

4. This sentence contains three a's, one b, three c's, two d's, thirty five e's, six f's, two g's, seven h's, eleven i's, one j, one k, two l's, one m, twenty two n's, fifteen o's, one p, one q, five r's, twenty six s's, twenty one t's, one u, seven v's, eight w's, three x's, five y's, and one z.

5. This sentence contains three a's, one b, three c's, two d's, thirty one e's, five f's, three g's, ten h's, eight i's, one j, one k, one l, one m, eighteen n's, fourteen o's, ten r's, twenty three s's, twenty three t's, four u's, two v's, six w's, two x's, and four y's.

6. This sentence contains three a's, one b, three c's, two d's, thirty one e's, five f's, two g's, six h's, eleven i's, one j, one k, two l's, one m, twenty one n's, sixteen o's, one p, one q, five r's, twenty seven s's, twenty t's, two u's, six v's, eight w's, four x's, five y's, and one z.

7. This sentence contains three a's, one b, three c's, two d's, thirty one e's, four f's, two g's, ten h's, eight i's, one j, one k, two l's, sixteen n's, eleven o's, ten r's, twenty five s's, twenty three t's, three u's, three v's, six w's, three x's, and four y's.

8. This sentence contains three a's, one b, three c's, two d's, thirty one e's, six f's, two g's, seven h's, ten i's, one j, one k, one l, one m, twenty one n's, fifteen o's, one p, one q, five r's, twenty three s's, twenty two t's, five v's, eight w's, two x's, and five y's.

9. This sentence contains three a's, one b, three c's, two d's, thirty six e's, five f's, three g's, ten h's, eleven i's, one j, one k, three l's, one m, eighteen n's, eleven o's, one p, one q, eight r's, twenty five s's, twenty t's, two u's, six v's, five w's, three x's, and four y's.

10. This sentence contains three a's, one b, three c's, two d's, thirty three e's, seven f's, one g, six h's, ten i's, one j, one k, one l, one m, twenty four n's, sixteen o's, one p, one q, nine r's, twenty six s's, seventeen t's, five u's, five v's, four w's, four x's, four y's, and one z.

11. This sentence contains three a's, one b, three c's, two d's, twenty eight e's, five f's, three g's, eight h's, twelve i's, one j, two l's, sixteen n's, nine o's, six r's, twenty five s's, twenty two t's, two u's, five v's, nine w's, three x's, and four y's.

12. This sentence contains three a's, one b, three c's, two d's, twenty nine e's, five f's, four g's, nine h's, eleven i's, two l's, eighteen n's, nine o's, eight r's, twenty four s's, eighteen t's, four u's, three v's, six w's, two x's, and three y's.

13. This sentence contains three a's, one b, three c's, two d's, twenty nine e's, five f's, one g, six h's, ten i's, nineteen n's, seven o's, seven r's, twenty six s's, sixteen t's, three u's, five v's, four w's, four x's, and three y's.

14. This sentence contains three a's, one b, three c's, two d's, twenty nine e's, three f's, two g's, seven h's, eight i's, twenty one n's, nine o's, seven r's, twenty six s's, nineteen t's, three u's, four v's, seven w's, two x's, and four y's.

15. This sentence contains three a's, one b, three c's, two d's, twenty seven e's, four f's, five h's, eleven i's, two l's, sixteen n's, seven o's, five r's, twenty nine s's, sixteen t's, two u's, six v's, six w's, six x's, and three y's.

16. This sentence contains three a's, one b, three c's, two d's, twenty seven e's, two f's, two g's, seven h's, eight i's, one j, nineteen n's, ten o's, six r's, twenty six s's, twenty two t's, two u's, three v's, nine w's, three x's, and four y's.

No comments:

Post a Comment

Followers