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 is composed of'' sentences in decimal, exhaustive list - there are no others.


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

2. This sentence is composed of two a's, one b, three c's, three d's, thirty six e's, six f's, three g's, eleven h's, thirteen i's, one j, one k, two l's, two m's, nineteen n's, fifteen o's, two p's, one q, nine r's, twenty eight s's, twenty five t's, two u's, three v's, eight w's, three x's, four y's, and one z.

3. This sentence is composed of two a's, one b, three c's, three d's, thirty three e's, eight f's, three g's, eleven h's, thirteen i's, one j, one k, two l's, two m's, fifteen n's, thirteen o's, two p's, nine r's, twenty five s's, twenty five t's, two u's, five v's, eight w's, and four y's.

4. This sentence is composed of two a's, one b, three c's, three d's, thirty three e's, seven f's, three g's, ten h's, eight i's, one j, one k, one l, two m's, sixteen n's, fifteen o's, two p's, ten r's, twenty eight s's, twenty four t's, four u's, three v's, seven w's, two x's, and four y's.

5. This sentence is composed of two a's, one b, three c's, three d's, twenty six e's, six f's, one g, six h's, eleven i's, two l's, two m's, fifteen n's, thirteen o's, two p's, six r's, twenty nine s's, twenty two t's, two u's, three v's, ten w's, five x's, and four y's.

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