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A207323
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a(n) = Sum_{k=0..n} k*A002893(k).
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0
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0, 3, 33, 312, 2868, 26133, 237147, 2146992, 19409064, 175287597, 1581968247, 14270061192, 128673729492, 1159919095227, 10453609519917, 94194476541312, 848633286566256, 7644719039897661, 68858679361873263, 620181110747360616, 5585301978207342396, 50297638075074093723, 452923691790915847653
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OFFSET
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0,2
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LINKS
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FORMULA
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Conjecture: n*(n-1)*a(n) +(-14*n^2+23*n-12)*a(n-1) +(52*n^2-151*n+120)*a(n-2) +3*(-22*n^2+79*n-72)*a(n-3) +27*(n-2)^2*a(n-4)=0. - R. J. Mathar, Nov 28 2013
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MATHEMATICA
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a[n_] := Sum[k Sum[Binomial[k, j]^2 Binomial[2j, j], {j, 0, k}], {k, 0, n}];
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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