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A025966
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Expansion of 1/((1-2x)(1-4x)(1-6x)(1-8x)).
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3
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1, 20, 260, 2800, 27216, 248640, 2182720, 18656000, 156544256, 1296655360, 10641146880, 86744985600, 703688298496, 5688011079680, 45855653642240, 368956766617600, 2964331947687936, 23790756829593600
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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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a(n) = (2^n)*stirling2(n+4, 4), n>=0, with stirling2(n, m)=A008277(n, m).
a(n) = (-2^n+24*4^n-81*6^n+64*8^n)/3!.
G.f.: 1/((1-2*x)*(1-4*x)*(1-6*x)*(1-8*x)).
E.g.f.: (-exp(2*x)+24*exp(4*x)-81*exp(6*x)+64*exp(8*x))/3!.
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MATHEMATICA
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CoefficientList[Series[1/((1-2x)(1-4x)(1-6x)(1-8x)), {x, 0, 40}], x] (* Harvey P. Dale, Apr 13 2019 *)
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PROG
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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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