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 Six

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


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

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

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

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

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

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

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

8. 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 one o's, thirteen r's, thirty three s's, forty t's, two u's, five v's, twelve w's, and ten y's.

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

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

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

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

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

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

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

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

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

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