id:A029887 - OEIS Search Results

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A sum over scaled A000531 related to Catalan numbers C(n).

+0
5

1, 11, 82, 515, 2934, 15694, 80324, 397923, 1922510, 9105690, 42438076, 195165646, 887516252, 3997537980, 17857602568, 79200753059, 349051186494, 1529735010658, 6670733733260, 28959032959962 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Related to planar maps? - see A000184. - njas, Mar 11 2007`
	FORMULA	`a(n) = 4^nsum(A000531(k+1)/4^k, k=0..n) = (2n+1)(2n+3)(2n+5)C(n)/3-(n+2)2^(2n+1); a(n)=4a(n-1)+A000531(n+1).` `G.f. c(x)/(1-4x)^(5/2) = (2-c(x))/(1-4x)^3, where c(x) = g.f. for Catalan numbers; also convolution of Catalan numbers with A002802.`
	CROSSREFS	`Cf. A000184, A000531, A000108, A002802.` `Sequence in context: A003730 A111334 A085879 this_sequence A026871 A123367 A129388` `Adjacent sequences: A029884 A029885 A029886 this_sequence A029888 A029889 A029890`
	KEYWORD	`nonn`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)`

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.

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