cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A108598 a(n) = floor(n*((5+sqrt(5))/4)).

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%I A108598 #15 Feb 16 2025 08:32:58
%S A108598 1,3,5,7,9,10,12,14,16,18,19,21,23,25,27,28,30,32,34,36,37,39,41,43,
%T A108598 45,47,48,50,52,54,56,57,59,61,63,65,66,68,70,72,74,75,77,79,81,83,85,
%U A108598 86,88,90,92,94,95,97,99,101,103,104,106,108,110,112,113,115,117,119,121
%N A108598 a(n) = floor(n*((5+sqrt(5))/4)).
%C A108598 Beatty sequence for (5+sqrt(5))/4; complement of A022839.
%H A108598 G. C. Greubel, <a href="/A108598/b108598.txt">Table of n, a(n) for n = 1..10000</a>
%H A108598 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/BeattySequence.html">Beatty Sequence</a>
%H A108598 <a href="/index/Be#Beatty">Index entries for sequences related to Beatty sequences</a>
%t A108598 With[{c=(5+Sqrt[5])/4},Floor[c Range[80]]] (* _Harvey P. Dale_, Jul 20 2022 *)
%o A108598 (Magma) [Floor(n*(5+Sqrt(5))/4): n in [1..80]]; // _G. C. Greubel_, Oct 20 2023
%o A108598 (SageMath) [int(n*sqrt(5)*golden_ratio/2) for n in range(1,81)] # _G. C. Greubel_, Oct 20 2023
%Y A108598 Cf. A022839, A026262.
%K A108598 nonn
%O A108598 1,2
%A A108598 _Reinhard Zumkeller_, Jun 11 2005