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
Links
- Georg Fischer, Table of n, a(n) for n = 0..9999 [first 1615 terms from Paolo P. Lava]
Programs
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Magma
phi:=(1+Sqrt(5))/2; [Floor(n^phi): n in [0..50]]; // G. C. Greubel, Sep 01 2018
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Mathematica
a[n_]:=Floor[n^GoldenRatio];
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PARI
a(n)=floor(n^((1+sqrt(5))/2)) \\ Charles R Greathouse IV, Jul 29 2011
Extensions
Offset changed to 0 by Georg Fischer, Oct 19 2024