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

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.

Sequence in context: A215812 A114395 A075314 * A032635 A036713 A260733

Adjacent sequences: A152734 A152735 A152736 * A152738 A152739 A152740

Keyword

nonn,easy

Author

Vladimir Joseph Stephan Orlovsky, Dec 12 2008

Extensions

Offset changed to 0 by Georg Fischer, Oct 19 2024

Status

approved