id:A047520 - OEIS Search Results

Search: id:A047520

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a(n) = 2*a(n-1) + n^2, a(0) = 0.

+0
1

0, 1, 6, 21, 58, 141, 318, 685, 1434, 2949, 5998, 12117, 24378, 48925, 98046, 196317, 392890, 786069, 1572462, 3145285, 6290970, 12582381, 25165246, 50331021, 100662618, 201325861, 402652398, 805305525, 1610611834, 3221224509 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Convolution of squares (A000290) and powers of 2 (A000079) - Graeme McRae (g_m(AT)mcraefamily.com), Jun 07 2006`
	FORMULA	`a(n) = 62^n-n^2-4n-6 = 6A000225(n)-A028347(n+2)` `a(n) = 2^n*sum(i = 1, n, i^2/2^i) - Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 27 2002`
	CROSSREFS	`Cf. A000295.` `Sequence in context: A056414 A056341 A053809 this_sequence A066524 A113070 A009147` `Adjacent sequences: A047517 A047518 A047519 this_sequence A047521 A047522 A047523`
	KEYWORD	`nonn`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), Jul 04 2000`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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