A004926 a(n) = floor(n*phi^11), where phi is the golden ratio, A001622.

0, 199, 398, 597, 796, 995, 1194, 1393, 1592, 1791, 1990, 2189, 2388, 2587, 2786, 2985, 3184, 3383, 3582, 3781, 3980, 4179, 4378, 4577, 4776, 4975, 5174, 5373, 5572, 5771, 5970, 6169, 6368, 6567, 6766

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

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, A004924, A004925.

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

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

Cf. A001622.

Programs

Magma

[Floor((199+89*Sqrt(5))*n/2): n in [0..60]]; // G. C. Greubel, Aug 27 2023

Mathematica

Floor[GoldenRatio^(11)*Range[0, 60]] (* G. C. Greubel, Aug 27 2023 *)

SageMath

[floor(golden_ratio^(11)*n) for n in range(61)] # G. C. Greubel, Aug 27 2023