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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 15 23:54 EDT 2019. Contains 328038 sequences. (Running on oeis4.)