A004925 a(n) = floor(n*phi^10), where phi is the golden ratio, A001622.

0, 122, 245, 368, 491, 614, 737, 860, 983, 1106, 1229, 1352, 1475, 1598, 1721, 1844, 1967, 2090, 2213, 2336, 2459, 2582, 2705, 2828, 2951, 3074, 3197, 3320, 3443, 3566, 3689, 3812, 3935, 4058, 4181

Offset

0,2

Links

Table of n, a(n) for n=0..34.

Index entries for sequences related to Beatty sequences

Maple

A004925:=n->floor(n*((1 + sqrt(5))/2)^10): seq(A004925(n), n=0..100); # Wesley Ivan Hurt, Jul 26 2017

Mathematica

Floor[GoldenRatio^(10)*Range[0, 60]] (* G. C. Greubel, Aug 27 2023 *)

Prog

(Magma) [Floor((123+55*Sqrt(5))*n/2): n in [0..60]]; // G. C. Greubel, Aug 27 2023
(SageMath) [floor(golden_ratio^(10)*n) for n in range(61)] # G. C. Greubel, Aug 27 2023

Crossrefs

Cf. A004919, A004920, A004921, A004922, A004923, A004924, A004926.

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

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

Cf. A001622 (phi).

Sequence in context: A304605 A380642 A158131 * A369598 A276303 A224598

Adjacent sequences: A004922 A004923 A004924 * A004926 A004927 A004928

Keyword

nonn

Author

N. J. A. Sloane

Status

approved