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A368536
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a(n) = Sum_{k=1..n} binomial(k+1,2) * n^k.
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1
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0, 1, 14, 192, 2996, 53955, 1110786, 25808160, 668740808, 19129643325, 598902606310, 20371538593296, 748148581865532, 29505258575474591, 1243695052515891626, 55800352470853933440, 2655106829377875895056, 133547801741230053460761
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) = [x^n] n*x/((1-x) * (1-n*x)^3).
a(n) = n * (n^n * (n^4-n^3-3*n^2+3*n+2) - 2)/(2 * (n-1)^3) for n > 1.
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PROG
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(PARI) a(n) = sum(k=1, n, binomial(k+1, 2)*n^k);
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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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