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A005610
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Number of Boolean functions realized by cascades of n gates.
(Formerly M4936)
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1
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2, 14, 86, 518, 3110, 18662, 111974, 671846, 4031078, 24186470, 145118822, 870712934, 5224277606, 31345665638, 188073993830, 1128443962982, 6770663777894, 40623982667366, 243743896004198, 1462463376025190
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| J. T. Butler, ``Fanout-free networks of multivalued gates,'' in Proc. Symposium Multiple-Valued Logic, Charlotte NC, 1977. IEEE Press, NY, 1977, pp. 39-46.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
Index entries for sequences related to Boolean functions
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FORMULA
| (2/5) * (6*6^n - 1). - R. Stephan, Apr 19 2004
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MAPLE
| A005610:=-2*(-7+6*z)/(6*z-1)/(z-1); [Conjectured by S. Plouffe in his 1992 dissertation. Gives the sequence apart from the initial 2.]
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CROSSREFS
| Cf. A003464.
Sequence in context: A036692 A075140 A037563 * A065355 A162478 A189392
Adjacent sequences: A005607 A005608 A005609 * A005611 A005612 A005613
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from R. Stephan, Apr 19 2004
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