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 Seven

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


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

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

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

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

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

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

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

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

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

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

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

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

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

14. This sentence has three a's, one b, two c's, two d's, thirty five e's, three f's, twelve h's, eleven i's, six l's, thirteen n's, twelve o's, eleven r's, thirty two s's, thirty one t's, two u's, ten v's, twelve w's, two x's, and four y's.

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

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

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

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

19. This sentence has three a's, one b, two c's, two d's, thirty three e's, six f's, one g, twelve h's, fourteen i's, three l's, thirteen n's, twelve o's, fourteen r's, thirty six s's, twenty six t's, five u's, four v's, six w's, six x's, and four y's.

20. This sentence has three a's, one b, two c's, two d's, thirty two e's, six f's, one g, thirteen h's, sixteen i's, one j, one k, sixteen n's, fifteen o's, thirteen r's, thirty four s's, thirty two t's, three u's, two v's, six w's, five x's, and four y's.

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

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