id:A131882 - OEIS Search Results

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a(0)=1; thereafter a(n)=a(n-1)+a([n/Phi]), where Phi=(1+sqrt(5))/2, the golden ratio.

+0
2

1, 2, 4, 6, 10, 16, 22, 32, 42, 58, 80, 102, 134, 176, 218, 276, 334, 414, 516, 618, 752, 886, 1062, 1280, 1498, 1774, 2108, 2442, 2856, 3270, 3786, 4404, 5022, 5774, 6660, 7546, 8608, 9670, 10950, 12448, 13946, 15720, 17494, 19602, 22044, 24486, 27342 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Same recursion as A006336, but different initial condition.`
	LINKS	`T. D. Noe, Table of n, a(n) for n=0..1000`
	MATHEMATICA	`a[0]=1; a[n_] := a[n] = a[n-1] + a[Floor[n/GoldenRatio]]; Table[a[n], {n, 0, 100}]`
	CROSSREFS	`Sequence in context: A073805 A130320 A101176 this_sequence A073150 A132212 A137414` `Adjacent sequences: A131879 A131880 A131881 this_sequence A131883 A131884 A131885`
	KEYWORD	`nonn`
	AUTHOR	`T. D. Noe (noe(AT)sspectra.com), Jul 23 2007`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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