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A152737
a(n) = floor(n^phi) where phi is the golden ratio.
3
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
Sequence in context: A215812 A114395 A075314 * A032635 A036713 A260733
KEYWORD
nonn,easy,changed
AUTHOR
EXTENSIONS
Offset changed to 0 by Georg Fischer, Oct 19 2024
STATUS
approved