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a(n) = floor(n*phi^5), where phi is the golden ratio, A001622.
19

%I #20 Oct 27 2023 09:04:15

%S 0,11,22,33,44,55,66,77,88,99,110,121,133,144,155,166,177,188,199,210,

%T 221,232,243,255,266,277,288,299,310,321,332,343,354,365,377,388,399,

%U 410,421,432,443,454,465,476,487,499,510,521,532,543,554,565,576,587,598

%N a(n) = floor(n*phi^5), where phi is the golden ratio, A001622.

%H G. C. Greubel, <a href="/A004920/b004920.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 Table[Floor[n GoldenRatio^5],{n,0,54}] (* _Stefano Spezia_, Feb 19 2023 *)

%o (Magma) [Floor((11+5*Sqrt(5))*n/2): n in [0..60]]; // _G. C. Greubel_, Aug 22 2023

%o (SageMath) [floor(golden_ratio^5*n) for n in range(61)] # _G. C. Greubel_, Aug 22 2023

%Y Cf. A004919, A004921, A004922, A004923, A004924, A004925, A004926.

%Y Cf. A004927, 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_