A004924 a(n) = floor(n*phi^9), where phi is the golden ratio, A001622.

0, 76, 152, 228, 304, 380, 456, 532, 608, 684, 760, 836, 912, 988, 1064, 1140, 1216, 1292, 1368, 1444, 1520, 1596, 1672, 1748, 1824, 1900, 1976, 2052, 2128, 2204, 2280, 2356, 2432, 2508, 2584, 2660, 2736

Offset

0,2

Comments

The first differences a(n) - a(n-1) generally equal 76 with exceptions for example at n = 77, 153, 229, 305, 381, 457, ..., 5777, 5854, 5930, .... where they equal 77. - R. J. Mathar, Jan 11 2008

Links

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

Tanya Khovanova, Non Recursions

Index entries for sequences related to Beatty sequences

Mathematica

Floor[GoldenRatio^9*Range[0, 60]] (* G. C. Greubel, Aug 24 2023 *)

Prog

(Magma) [Floor((38+17*Sqrt(5))*n): n in [0..60]]; // G. C. Greubel, Aug 24 2023
(SageMath) [floor(golden_ratio^9*n) for n in range(61)] # G. C. Greubel, Aug 24 2023

Crossrefs

Cf. A004919, A004920, A004921, A004922, A004923, A004925, A004926.

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

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

Cf. A001622

Sequence in context: A248532 A186896 A202173 * A004944 A063359 A044327

Adjacent sequences: A004921 A004922 A004923 * A004925 A004926 A004927

Keyword

nonn

Author

N. J. A. Sloane

Status

approved