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: Pennies

Self-referential ``this sentence has'' sentences at a penny a letter with minimum currency, p is 1, n is 5, d is 10, q is 25, exhaustive list - there are no others.


1. This sentence has ppp a's, p b, pp c's, ppp d's, pppp e's, ppp h's, pp i's, np n's, q p's, pp q's, dn s's, and ppp t's.

2. This sentence has ppp a's, p b, pp c's, ppp d's, pppp e's, ppp h's, pp i's, np n's, qp p's, pp q's, dn s's, and ppp t's.

3. This sentence has ppp a's, p b, pp c's, ppp d's, pppp e's, ppp h's, pp i's, np n's, qpp p's, pp q's, dn s's, and ppp t's.

4. This sentence has ppp a's, p b, pp c's, ppp d's, pppp e's, ppp h's, pp i's, np n's, qppp p's, pp q's, dn s's, and ppp t's.

5. This sentence has ppp a's, p b, pp c's, ppp d's, pppp e's, ppp h's, pp i's, np n's, qpppp p's, pp q's, dn s's, and ppp t's.

6. This sentence has ppp a's, p b, pp c's, ppp d's, pppp e's, p f, p g, ppp h's, pp i's, p j, p k, npp n's, qn p's, pp q's, dn s's, and ppp t's.

7. This sentence has ppp a's, p b, pp c's, ppp d's, pppp e's, p f, p g, ppp h's, pp i's, p j, p k, npp n's, qnp p's, pp q's, dn s's, and ppp t's.

8. This sentence has ppp a's, p b, pp c's, ppp d's, pppp e's, p f, p g, ppp h's, pp i's, p j, p k, npp n's, qnpp p's, pp q's, dn s's, and ppp t's.

9. This sentence has ppp a's, p b, pp c's, ppp d's, pppp e's, p f, p g, ppp h's, pp i's, p j, p k, npp n's, qnppp p's, pp q's, dn s's, and ppp t's.

10. This sentence has ppp a's, p b, pp c's, ppp d's, pppp e's, p f, p g, ppp h's, pp i's, p j, p k, npp n's, qnpppp p's, pp q's, dn s's, and ppp t's.

11. This sentence has ppp a's, p b, pp c's, pppp d's, pppp e's, p f, p g, ppp h's, pp i's, p j, p k, p l, p m, np n's, p o, qd p's, pp q's, p r, dn s's, ppp t's, and p u.

12. This sentence has ppp a's, p b, pp c's, pppp d's, pppp e's, p f, p g, ppp h's, pp i's, p j, p k, p l, p m, np n's, p o, qdp p's, pp q's, p r, dn s's, ppp t's, and p u.

13. This sentence has ppp a's, p b, pp c's, pppp d's, pppp e's, p f, p g, ppp h's, pp i's, p j, p k, p l, p m, np n's, p o, qdpp p's, pp q's, p r, dn s's, ppp t's, and p u.

14. This sentence has ppp a's, p b, pp c's, pppp d's, pppp e's, p f, p g, ppp h's, pp i's, p j, p k, p l, p m, np n's, p o, qdppp p's, pp q's, p r, dn s's, ppp t's, and p u.

15. This sentence has ppp a's, p b, pp c's, pppp d's, pppp e's, p f, p g, ppp h's, pp i's, p j, p k, p l, p m, np n's, p o, qdpppp p's, pp q's, p r, dn s's, ppp t's, and p u.

16. This sentence has ppp a's, p b, pp c's, pppp d's, pppp e's, p f, p g, ppp h's, pp i's, p j, p k, p l, p m, npp n's, p o, qdn p's, pp q's, p r, dn s's, ppp t's, p u, p v, p w, p x, and p y.

17. This sentence has ppp a's, p b, pp c's, pppp d's, pppp e's, p f, p g, ppp h's, pp i's, p j, p k, p l, p m, npp n's, p o, qdnp p's, pp q's, p r, dn s's, ppp t's, p u, p v, p w, p x, and p y.

18. This sentence has ppp a's, p b, pp c's, pppp d's, pppp e's, p f, p g, ppp h's, pp i's, p j, p k, p l, p m, npp n's, p o, qdnpp p's, pp q's, p r, dn s's, ppp t's, p u, p v, p w, p x, and p y.

19. This sentence has ppp a's, p b, pp c's, pppp d's, pppp e's, p f, p g, ppp h's, pp i's, p j, p k, p l, p m, npp n's, p o, qdnppp p's, pp q's, p r, dn s's, ppp t's, p u, p v, p w, p x, and p y.

20. This sentence has ppp a's, p b, pp c's, pppp d's, pppp e's, p f, p g, ppp h's, pp i's, p j, p k, p l, p m, npp n's, p o, qdnpppp p's, pp q's, p r, dn s's, ppp t's, p u, p v, p w, p x, and p y.

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