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

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 0..10000
• Index entries for sequences related to Beatty sequences

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.

Programs

Magma

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

Mathematica

Floor[GoldenRatio^6*Range[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

Formula

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

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

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