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A207319
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a(n) = Sum_{k=0..n-1} (-1)^k*k*A000172(k).
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0
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0, 0, -2, 18, -150, 1234, -10026, 81078, -653642, 5259654, -42268734, 339383866, -2723191254, 21839901546, -175088593334, 1403249333706, -11243655022134, 90073138966378, -721461395853162, 5777933202466686, -46268213346433298, 370468327360598622, -2966084621457856170, 23745699326099825110
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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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Conjecture: (n-1)*(n-2)*a(n) +2*(n^2+3*n-9)*a(n-1) +3*(-13*n^2+63*n-80)*a(n-2) +4*(17*n^2-96*n+136)*a(n-3) -32*(n-3)^2*a(n-4)=0. - R. J. Mathar, Nov 28 2013
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MATHEMATICA
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a[n_] := Sum[(-1)^k k Sum[Binomial[k, j]^3, {j, 0, k}], {k, 0, n-1}];
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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