A004920 a(n) = floor(n*phi^5), where phi is the golden ratio, A001622.

0, 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 133, 144, 155, 166, 177, 188, 199, 210, 221, 232, 243, 255, 266, 277, 288, 299, 310, 321, 332, 343, 354, 365, 377, 388, 399, 410, 421, 432, 443, 454, 465, 476, 487, 499, 510, 521, 532, 543, 554, 565, 576, 587, 598

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, A004921, A004922, A004923, A004924, A004925, A004926.

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

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

Cf. A001622.

Programs

Magma

[Floor((11+5*Sqrt(5))*n/2): n in [0..60]]; // G. C. Greubel, Aug 22 2023

Mathematica

Table[Floor[n GoldenRatio^5],{n,0,54}] (* Stefano Spezia, Feb 19 2023 *)

SageMath

[floor(golden_ratio^5*n) for n in range(61)] # G. C. Greubel, Aug 22 2023