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

Author

N. J. A. Sloane

Keywords

• nonn

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

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

Programs

Magma

[Floor((38+17*Sqrt(5))*n): n in [0..60]]; // G. C. Greubel, Aug 24 2023

Mathematica

Floor[GoldenRatio^9*Range[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