cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A112535 Number of truth tables generated by 3CNF expressions of n variables.

Original entry on oeis.org

2, 4, 16, 256, 43146, 120510132, 4977694100656
Offset: 0

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Author

C. Bradford Barber (bradb(AT)shore.net), Dec 13 2005

Keywords

Comments

For n=5, computing the number of 3CNF truth tables took 2^32 bytes and 2^38 iterations. Computing the same number for n=6 may require 2^64 bits and 2^71 iterations.
I calculated a(6) using a different method; a(7) looks a lot harder. - Don Knuth, Dec 10 2012

References

  • Knuth, Donald E., Satisfiability, Fascicle 6, volume 4 of The Art of Computer Programming. Addison-Wesley, 2015, pages 148 and 220, Problem 191.

Crossrefs

Cf. A034472, A109457 (corresponding sequences for 1CNF and 2CNF), A112650, A000157, A000371, A000613, A000618, A003181.

Extensions

a(6) from Don Knuth, Dec 10 2012
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