A152737 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

Offset

1,3

Links

Paolo P. Lava, Table of n, a(n) for n = 1..10000

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 [1..50]]; // G. C. Greubel, Sep 01 2018

Crossrefs

Sequence in context: A215812 A114395 A075314 * A032635 A036713 A260733

Adjacent sequences: A152734 A152735 A152736 * A152738 A152739 A152740

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Dec 12 2008

Status

approved