id:A113439 - OEIS Search Results

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a(n) = a(n-1) + Sum_{0<k<=n/4} a(n-4k), with a(0)=1.

+0
7

1, 1, 1, 1, 2, 3, 4, 5, 8, 12, 17, 23, 34, 50, 72, 101, 146, 212, 306, 436, 627, 905, 1305, 1871, 2689, 3872, 5577, 8014, 11521, 16576, 23858, 34309, 49337, 70968, 102108, 146868, 211233, 303832, 437080, 628708, 904306, 1300737, 1871065, 2691401 (list; graph; listen)

	OFFSET	`0,5`
	COMMENT	`If presented in four rows a(4n), a(4n+1), a(4n+2) and a(4n+3) 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-4)-a(n-5) = 9a(n-4)-28a(n-8)+38a(n-12)-20a(n-16)+a(n-20).` `G.f.: (1-x^4)/(1-x-2x^4+x^5).`
	CROSSREFS	`Cf. A113435, A113444, A028495.` `Sequence in context: A059747 A094087 A017821 this_sequence A018059 A050024 A065490` `Adjacent sequences: A113436 A113437 A113438 this_sequence A113440 A113441 A113442`
	KEYWORD	`nonn`
	AUTHOR	`Floor van Lamoen (fvlamoen(AT)hotmail.com), Nov 04 2005`

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Last modified November 23 10:40 EST 2009. Contains 167421 sequences.

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