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A213764
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Antidiagonal sums of the convolution array A213762.
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3
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1, 8, 31, 90, 225, 516, 1123, 2366, 4885, 9960, 20151, 40578, 81481, 163340, 327115, 654726, 1310013, 2620656, 5242015, 10484810, 20970481, 41941908, 83884851, 167770830, 335542885, 671087096, 1342175623, 2684352786
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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) = -10 + 5*2^(n+1) - 7*n - 2*n^2.
a(n) = 5*a(n-1) - 9*a(n-2) + 7*a(n-3) - 2*a(n-4).
G.f.: f(x)/g(x), where f(x) = x*(1 + 3*x) and g(x) = (1 - 2*x)*(1 - x)^3.
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MATHEMATICA
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LinearRecurrence[{5, -9, 7, -2}, {1, 8, 31, 90}, 30] (* Harvey P. Dale, Jan 27 2016 *)
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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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