A004921 - OEIS

A004921

a(n) = floor(n*phi^6), phi = golden ratio, A001622.

0, 17, 35, 53, 71, 89, 107, 125, 143, 161, 179, 197, 215, 233, 251, 269, 287, 305, 322, 340, 358, 376, 394, 412, 430, 448, 466, 484, 502, 520, 538, 556, 574, 592, 610, 628, 645, 663, 681, 699, 717, 735, 753, 771

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

OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..10000

Index entries for sequences related to Beatty sequences

FORMULA

From G. C. Greubel, Aug 22 2023: (Start)

a(n) = floor((9 + 4*sqrt(5))*n).

a(n) = floor((A098317)^2*n). (End)

MATHEMATICA

Floor[GoldenRatio^6*Range[0, 50]] (* G. C. Greubel, Aug 22 2023 *)

PROG

(Magma) [Floor((9+4*Sqrt(5))*n): n in [0..50]]; // G. C. Greubel, Aug 22 2023

(SageMath) [floor((9+4*sqrt(5))*n) for n in range(51)] # G. C. Greubel, Aug 22 2023

CROSSREFS

Cf. A004919, A004920, A004922, A004923, A004924, A004925, A004926.

Cf. A004927, A004928, A004929, A004930, A004931, A004932, A004933.

Cf. A004934, A004935, A004976, A066096, A090909.

Cf. A001622, A098317.

Sequence in context: A041568 A042305 A041566 * A239129 A212427 A195047

Adjacent sequences: A004918 A004919 A004920 * A004922 A004923 A004924

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved