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A131882 a(0)=1; thereafter a(n)=a(n-1)+a([n/Phi]), where Phi=(1+sqrt(5))/2, the golden ratio. 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; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

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: A258599 A101176 A192447 * A073150 A076529 A323283

Adjacent sequences: A131879 A131880 A131881 * A131883 A131884 A131885

KEYWORD

nonn

AUTHOR

T. D. Noe, Jul 23 2007

STATUS

approved

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Last modified December 1 14:21 EST 2022. Contains 358468 sequences. (Running on oeis4.)