id:A154106 - OEIS Search Results

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a(n) = 12*n^2+22*n+11.

+0
2

11, 45, 103, 185, 291, 421, 575, 753, 955, 1181, 1431, 1705, 2003, 2325, 2671, 3041, 3435, 3853, 4295, 4761, 5251, 5765, 6303, 6865, 7451, 8061, 8695, 9353, 10035, 10741, 11471, 12225, 13003, 13805, 14631, 15481, 16355, 17253, 18175, 19121 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`a(n) = 2nA016969(n+1)+11.`
	FORMULA	`G.f.: (1+x)(11+x)/(1-x)^3.` `a(0) = 11; for n > 0, a(n) = a(n-1)+24n+10.`
	EXAMPLE	`a(3) = 123^2+223+11 = 185 = 2329+11 = 23A016969(4)+11.` `a(4) = a(3)+24*4+10 = 185+96+10 = 291.`
	PROGRAM	`(MAGMA) [ 12n^2+22n+11: n in [0..39] ];`
	CROSSREFS	`Cf. A016969 (6n+5), A153286.` `Sequence in context: A042521 A041228 A022280 this_sequence A057813 A051740 A144932` `Adjacent sequences: A154103 A154104 A154105 this_sequence A154107 A154108 A154109`
	KEYWORD	`nonn`
	AUTHOR	`Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jan 04 2009`

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.

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