

A004919


Floor of n*phi^4, where phi is the golden ratio, A001622.


3



0, 6, 13, 20, 27, 34, 41, 47, 54, 61, 68, 75, 82, 89, 95, 102, 109, 116, 123, 130, 137, 143, 150, 157, 164, 171, 178, 185, 191, 198, 205, 212, 219, 226, 233, 239, 246, 253, 260, 267, 274, 281, 287, 294, 301, 308
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OFFSET

0,2


COMMENTS

The golden section or golden ratio is now usually denoted by "phi", but it in the older literature it was more often denoted by "tau."  N. J. A. Sloane, Feb 17 2013


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000
A. J. Hildebrand, Junxian Li, Xiaomin Li, Yun Xie, Almost Beatty Partitions, arXiv:1809.08690 [math.NT], 2018.
Index entries for sequences related to Beatty sequences


FORMULA

a(n) = 2*n + floor(3*n*tau). [Formula corrected by Charles R Greathouse IV, Mar 11 2011]


MATHEMATICA

With[{c=GoldenRatio^4}, Floor[c*Range[0, 50]]] (* Harvey P. Dale, Apr 11 2012 *)


CROSSREFS

Cf. A000201, A001950, A004976.
Sequence in context: A187393 A043417 A031485 * A172330 A017053 A046040
Adjacent sequences: A004916 A004917 A004918 * A004920 A004921 A004922


KEYWORD

nonn


AUTHOR

N. J. A. Sloane.


STATUS

approved



