id:A025966 - OEIS Search Results

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Expansion of 1/((1-2x)(1-4x)(1-6x)(1-8x)).

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1, 20, 260, 2800, 27216, 248640, 2182720, 18656000, 156544256, 1296655360, 10641146880, 86744985600, 703688298496, 5688011079680, 45855653642240, 368956766617600, 2964331947687936, 23790756829593600 (list; graph; listen)

	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+244^n-816^n+648^n)/3!.` `G.f.: 1/((1-2x)(1-4x)(1-6x)(1-8x)). E.g.f.: (-exp(2x)+24exp(4x)-81exp(6x)+64exp(8x))/3!.`
	CROSSREFS	`Fourth column of triangle A075497.` `Cf. A016283, A075510.` `Adjacent sequences: A025963 A025964 A025965 this_sequence A025967 A025968 A025969` `Sequence in context: A025986 A028027 A081244 this_sequence A041764 A022111 A025943`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified November 8 07:45 EST 2009. Contains 166143 sequences.

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