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A004927 a(n) = floor(n*phi^12), where phi is the golden ratio, A001622. 19

%I #13 Aug 28 2023 08:28:14

%S 0,321,643,965,1287,1609,1931,2253,2575,2897,3219,3541,3863,4185,4507,

%T 4829,5151,5473,5795,6117,6439,6761,7083,7405,7727,8049,8371,8693,

%U 9015,9337,9659,9981,10303,10625

%N a(n) = floor(n*phi^12), where phi is the golden ratio, A001622.

%H G. C. Greubel, <a href="/A004927/b004927.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Be#Beatty">Index entries for sequences related to Beatty sequences</a>

%t Floor[GoldenRatio^(12)*Range[0,60]] (* _G. C. Greubel_, Aug 27 2023 *)

%o (Magma) [Floor((161+72*Sqrt(5))*n): n in [0..60]]; // _G. C. Greubel_, Aug 27 2023

%o (SageMath) [floor(golden_ratio^(12)*n) for n in range(61)] # _G. C. Greubel_, Aug 27 2023

%Y Cf. A004919, A004920, A004921, A004922, A004923, A004924, A004925.

%Y Cf. A004926, A004928, A004929, A004930, A004931, A004932, A004933.

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

%Y Cf. A001622.

%K nonn

%O 0,2

%A _N. J. A. Sloane_

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)