A152737 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A152737

a(n) = floor(n^phi) where phi is the golden ratio.

0, 1, 3, 5, 9, 13, 18, 23, 28, 34, 41, 48, 55, 63, 71, 79, 88, 97, 107, 117, 127, 137, 148, 159, 171, 182, 194, 207, 219, 232, 245, 258, 272, 286, 300, 315, 329, 344, 359, 375, 391, 406, 423, 439, 456, 473, 490, 507, 525, 542, 561, 579, 597, 616, 635, 654, 673

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Georg Fischer, Table of n, a(n) for n = 0..9999 [first 1615 terms from Paolo P. Lava]

MATHEMATICA

a[n_]:=Floor[n^GoldenRatio];

PROG

(PARI) a(n)=floor(n^((1+sqrt(5))/2)) \\ Charles R Greathouse IV, Jul 29 2011

(Magma) phi:=(1+Sqrt(5))/2; [Floor(n^phi): n in [0..50]]; // G. C. Greubel, Sep 01 2018

CROSSREFS

Cf. A001622, A014217.