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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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3
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64, 1744, 48784, 1365904, 38245264, 1070867344, 29984285584, 839559996304, 23507679896464, 658215037100944, 18430021038826384, 516040589087138704, 14449136494439883664, 404575821844316742544, 11328123011640868791184
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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).
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LINKS
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FORMULA
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G.f.: (64 - 112 x) / (1 - x) (1 - 28 x).
a(1)=64, a(2)=1744, a(n) = 29*a(n-1) - 28*a(n-2). - Harvey P. Dale, Nov 19 2011
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MAPLE
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MATHEMATICA
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CoefficientList[Series[(64-112 x)/((1-x) (1-28 x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{29, -28}, {64, 1744}, 30] (* Harvey P. Dale, Nov 19 2011 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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