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 makes use of'' sentences in decimal, exhaustive list - there are no others.


1. This sentence makes use of three a's, two c's, two d's, twenty eight e's, six f's, five g's, nine h's, eleven i's, two k's, three l's, two m's, eleven n's, eight o's, six r's, twenty eight s's, twenty t's, four u's, five v's, eight w's, three x's, and four y's.

2. This sentence makes use of three a's, one b, two c's, two d's, thirty one e's, five f's, two g's, seven h's, eight i's, one j, two k's, one l, two m's, seventeen n's, fourteen o's, seven r's, thirty s's, nineteen t's, four u's, six v's, seven w's, two x's, and three y's.

3. This sentence makes use of three a's, one b, two c's, two d's, twenty five e's, seven f's, two g's, six h's, nine i's, two k's, two m's, fifteen n's, ten o's, six r's, twenty eight s's, twenty t's, four u's, three v's, nine w's, three x's, and four y's.

4. This sentence makes use of three a's, one b, two c's, two d's, twenty six e's, ten f's, two g's, four h's, eight i's, one j, two k's, two m's, fifteen n's, fourteen o's, five r's, twenty seven s's, twenty one t's, five u's, five v's, ten w's, two x's, and four y's.

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