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%I A004921 #16 Oct 27 2023 08:44:20
%S A004921 0,17,35,53,71,89,107,125,143,161,179,197,215,233,251,269,287,305,322,
%T A004921 340,358,376,394,412,430,448,466,484,502,520,538,556,574,592,610,628,
%U A004921 645,663,681,699,717,735,753,771
%N A004921 a(n) = floor(n*phi^6), phi = golden ratio, A001622.
%H A004921 G. C. Greubel, <a href="/A004921/b004921.txt">Table of n, a(n) for n = 0..10000</a>
%H A004921 <a href="/index/Be#Beatty">Index entries for sequences related to Beatty sequences</a>
%F A004921 From _G. C. Greubel_, Aug 22 2023: (Start)
%F A004921 a(n) = floor((9 + 4*sqrt(5))*n).
%F A004921 a(n) = floor((A098317)^2*n). (End)
%t A004921 Floor[GoldenRatio^6*Range[0, 50]] (* _G. C. Greubel_, Aug 22 2023 *)
%o A004921 (Magma) [Floor((9+4*Sqrt(5))*n): n in [0..50]]; // _G. C. Greubel_, Aug 22 2023
%o A004921 (SageMath) [floor((9+4*sqrt(5))*n) for n in range(51)] # _G. C. Greubel_, Aug 22 2023
%Y A004921 Cf. A004919, A004920, A004922, A004923, A004924, A004925, A004926.
%Y A004921 Cf. A004927, A004928, A004929, A004930, A004931, A004932, A004933.
%Y A004921 Cf. A004934, A004935, A004976, A066096, A090909.
%Y A004921 Cf. A001622, A098317.
%K A004921 nonn
%O A004921 0,2
%A A004921 _N. J. A. Sloane_

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