id:A113435 - OEIS Search Results

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a(n) = a(n-1) + sum_{0<k<=n/3}a(n-3k) with a(0)=1.

+0
6

1, 1, 1, 2, 3, 4, 7, 11, 16, 26, 41, 62, 98, 154, 237, 371, 581, 901, 1406, 2197, 3418, 5329, 8317, 12956, 20196, 31501, 49096, 76532, 119338, 186029, 289997, 452141, 704861, 1098826, 1713111, 2670692, 4163483, 6490879, 10119152, 15775426 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`If presented in three rows a(3n), a(3n+1) and a(3n+2) each term is the sum of the previous term in the sequence and the partial sum of its row.`
	FORMULA	`a(n) = a(n-1)+2a(n-3)-a(n-4) = 7a(n-3)-5a(n-6)+11a(n-9)-a(n-12).` `G.f.: (1-x^3)/(1-x-2x^3+x^4)`
	CROSSREFS	`Cf. A113439, A113444, A028495.` `Adjacent sequences: A113432 A113433 A113434 this_sequence A113436 A113437 A113438` `Sequence in context: A141001 A120415 A023361 this_sequence A025048 A017987 A039897`
	KEYWORD	`nonn`
	AUTHOR	`Floor van Lamoen (fvlamoen(AT)hotmail.com), Nov 04 2005`

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Last modified October 11 13:47 EDT 2008. Contains 144830 sequences.

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