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A213748
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Principal diagonal of the convolution array A213747.
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3
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1, 16, 125, 758, 4071, 20424, 98185, 458506, 2096651, 9436172, 41941005, 184545294, 805298191, 3489644560, 15032352785, 64424443922, 274877775891, 1168230842388, 4947801800725, 20890719879190, 87960928124951
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) = 12*a(n-1) - 53*a(n-2) + 106*a(n-3) - 96*a(n-4) + 32*a(n-5).
G.f.: f(x)/g(x), where f(x) = x*(1 + 4*x - 14*x^2) and g(x) = (1 - 2*x)*(1 - 5*x + 4*x^2)^2.
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MATHEMATICA
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LinearRecurrence[{12, -53, 106, -96, 32}, {1, 16, 125, 758, 4071}, 30] (* Harvey P. Dale, Aug 15 2012 *)
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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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