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Search: id:A005609
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| A005609 |
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Number of Boolean functions realized by cascades of n gates.
(Formerly M5333)
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+0
1
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| 64, 1744, 48784, 1365904, 38245264, 1070867344, 29984285584, 839559996304, 23507679896464, 658215037100944, 18430021038826384, 516040589087138704, 14449136494439883664, 404575821844316742544, 11328123011640868791184
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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.
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.
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LINKS
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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
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G.f.: (64 - 112 x ) / (1 - x ) ( 1 - 28 x ).
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MAPLE
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A005609:=-16*(-4+7*z)/(28*z-1)/(z-1); [Conjectured by S. Plouffe in his 1992 dissertation.]
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CROSSREFS
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Sequence in context: A014794 A162994 A017115 this_sequence A065788 A116133 A010841
Adjacent sequences: A005606 A005607 A005608 this_sequence A005610 A005611 A005612
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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