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 Eight

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


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

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

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

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

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

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

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

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

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

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