id:A155862 - OEIS Search Results

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A 'Morgan Voyce' transform of A007854.

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1, 4, 22, 130, 790, 4870, 30274, 189202, 1186702, 7461982, 47007034, 296527162, 1872479350, 11833642006, 74833075570, 473463268642, 2996771766046, 18974162475598, 120167557286314, 761214481604554, 4822871486667526 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Hankel transform is 3^n*2^C(n+1,2). Image of A007854 by Riordan array (1/(1-x),x/(1-x)^2).`
	FORMULA	`G.f.: 2/(3sqrt(1-6x+x^2)+x-1);` `G.f.: 1/(1-x-3x/(1-x-x/(1-x-x/(1-x-x/(1-x-x/(1-.... (continued fraction);` `a(n)=sum{k=0..n, C(n+k,2k)A007854(k)}=sum{k=0..n, A085478(n,k)*A007854(k)}.`
	CROSSREFS	`Cf.: A001850.` `Sequence in context: A047039 A100525 A086682 this_sequence A088536 A066380 A007195` `Adjacent sequences: A155859 A155860 A155861 this_sequence A155863 A155864 A155865`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jan 29 2009`

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.

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