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A025966 Expansion of 1/((1-2x)(1-4x)(1-6x)(1-8x)). 3
1, 20, 260, 2800, 27216, 248640, 2182720, 18656000, 156544256, 1296655360, 10641146880, 86744985600, 703688298496, 5688011079680, 45855653642240, 368956766617600, 2964331947687936, 23790756829593600 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

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!.

CROSSREFS

Fourth column of triangle A075497.

Cf. A016283, A075510.

Sequence in context: A025986 A028027 A081244 * A041764 A022111 A025943

Adjacent sequences:  A025963 A025964 A025965 * A025967 A025968 A025969

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 17 00:09 EST 2012. Contains 205978 sequences.