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A323277
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G.f. = (x/6)*( 1/(1-12*x)^(3/2) - 1/(1-12*x) ).
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0
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0, 0, 1, 21, 342, 5049, 70794, 961794, 12792492, 167583249, 2170496898, 27864238950, 355198394484, 4501897295274, 56786420175588, 713416451137956, 8931958558413912, 111495926008783809, 1388178160043508018, 17244120146466623166, 213776181450214477092, 2645421031806169214574
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OFFSET
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0,4
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LINKS
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FORMULA
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(-n+1)*a(n) +6*(4*n-5)*a(n-1) +72*(-2*n+3)*a(n-2)=0. - R. J. Mathar, Jan 17 2019
a(n) = (2^(2*n-3)*3^(n-2)*((2*n-1)!!/2^(n-1) - (n-1)!))/(n-1)!, n>0. - Jean-François Alcover, Feb 14 2019
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MATHEMATICA
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a[n_] := (2^(2n-3) 3^(n-2) ((2n-1)!!/2^(n-1) - (n-1)!))/(n-1)!; a[0] = 0;
CoefficientList[Series[x/6 (1/(1-12x)^(3/2)-1/(1-12x)), {x, 0, 30}], x] (* Harvey P. Dale, Jun 18 2021 *)
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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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