id:A132916 - OEIS Search Results

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a(0)=0; a(1)=1; a(n) = Sum a(n-k), k= 1 ... [n^(1/3)] for n>=2.

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0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 21892, 39603, 72441, 133936, 245980, 452357, 832273, 1530610, 2815240, 5178123, 9523973, 17517336, 32219432, 59260741, 108997509, 200477682 (list; graph; listen)

	OFFSET	`0,9`
	COMMENT	`Lim n->infinity {a(n+1)/a(n)} = 2. Contrast with Fibonacci sequence. Also a(n+1)/a(n) = 2 iff n+1 >= 8 is a cube.`
	FORMULA	`a(n) = sum a(n-k), k= 1 ... [n^(1/3)] for n>=2; a(0)=0; a(1)=1.`
	EXAMPLE	`a(27) = a(24) + a(25) + a(26) = 4181 + 6765 + 10946 = 21892.`
	CROSSREFS	`Cf. A132915.` `Adjacent sequences: A132913 A132914 A132915 this_sequence A132917 A132918 A132919` `Sequence in context: A000045 A134805 A020695 this_sequence A069041 A109609 A073958`
	KEYWORD	`nonn`
	AUTHOR	`Rick L. Shepherd (rshepherd2(AT)hotmail.com), Sep 04 2007`

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Last modified May 11 10:28 EDT 2008. Contains 139662 sequences.

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