A004924 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

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.