A004920 - OEIS

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

(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

MATHEMATICA

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

PROG

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

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

CROSSREFS