id:A132915 - OEIS Search Results

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a(0)=0; a(1)=1; a(n) = Sum a(n-k), k= 1 ... [sqrt(n)] for n>=2.

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0, 1, 1, 1, 2, 3, 5, 8, 13, 26, 47, 86, 159, 292, 537, 988, 1976, 3793, 7294, 14051, 27114, 52252, 100711, 194128, 374205, 748410, 1469706, 2887160, 5673609, 11153090, 21931975, 43115540, 84761374, 166635588, 327597567, 644042044, 1288084088 (list; graph; listen)

	OFFSET	`0,5`
	COMMENT	`Lim n->infinity {a(n+1)/a(n)} = 2. Contrast with Fibonacci sequence. Also a(n+1)/a(n) = 2 iff n+1 is square.`
	FORMULA	`a(n) = sum a(n-k), k= 1 ... [sqrt(n)] for n>=2; a(0)=0; a(1)=1.`
	EXAMPLE	`a(9) = a(6) + a(7) + a(8) = 5 + 8 + 13 = 26.`
	CROSSREFS	`Adjacent sequences: A132912 A132913 A132914 this_sequence A132916 A132917 A132918` `Sequence in context: A125730 A074030 A024318 this_sequence A030036 A115212 A042163`
	KEYWORD	`nonn`
	AUTHOR	`Rick L. Shepherd (rshepherd2(AT)hotmail.com), Sep 04 2007`

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.

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