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 employs'' sentences in decimal, exhaustive list - there are no others.


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

2. This sentence employs two a's, two c's, two d's, twenty six e's, four f's, two g's, seven h's, nine i's, three l's, two m's, thirteen n's, ten o's, two p's, six r's, twenty eight s's, twenty three t's, two u's, five v's, eleven w's, three x's, and five y's.

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

4. This sentence employs two a's, one b, two c's, two d's, twenty eight e's, five f's, three g's, eight h's, eleven i's, three l's, two m's, thirteen n's, nine o's, two p's, five r's, twenty five s's, twenty three t's, six v's, ten w's, two x's, and five y's.

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

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