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 Five

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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