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A074494
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Number of 2-input gates used to synthesize parity function in disjunctive normal form (DNF) with n inputs.
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1
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2, 5, 17, 47, 119, 287, 671, 1535, 3455, 7679, 16895, 36863, 79871, 172031, 368639, 786431, 1671167, 3538943, 7471103, 15728639, 33030143, 69206015, 144703487, 301989887, 629145599, 1308622847, 2717908991, 5637144575, 11676942335
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OFFSET
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1,1
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LINKS
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FORMULA
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a(n) = 3*n * 2^(n-2) - 1 for n>1.
G.f.: x*(2-5*x+8*x^2-6*x^3)/((1-x)*(1-2*x)^2). [Colin Barker, Apr 17 2012]
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EXAMPLE
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a(7) = 21 * 32 - 1 = 671.
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MATHEMATICA
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Rest[CoefficientList[Series[x (2-5x+8x^2-6x^3)/((1-x)(1-2x)^2), {x, 0, 30}], x]] (* Harvey P. Dale, Feb 18 2013 *)
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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Nikolay S. Maltchev (nikolay(AT)maltchev.com), Sep 25 2002
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STATUS
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approved
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