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.

A300763 a(n) = ceiling(n/g^3), where g = (1+sqrt(5))/2 is the golden ratio.

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%I A300763 #43 Jul 03 2018 02:41:09
%S A300763 0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,7,7,7,7,8,8,8,8,
%T A300763 9,9,9,9,9,10,10,10,10,11,11,11,11,12,12,12,12,13,13,13,13,13,14,14,
%U A300763 14,14,15,15,15,15,16,16,16,16,17,17,17,17,17,18,18
%N A300763 a(n) = ceiling(n/g^3), where g = (1+sqrt(5))/2 is the golden ratio.
%H A300763 Altug Alkan, <a href="/A300763/b300763.txt">Table of n, a(n) for n = 0..1000</a>
%F A300763 a(n) = ceiling(n/t) where t = 2*g + 1 = 2 + sqrt(5). - _Altug Alkan_, Jul 02 2018
%t A300763 Array[Ceiling[#/GoldenRatio^3] &, 90, 0] (* _Robert G. Wilson v_, Jul 02 2018 *)
%o A300763 (PARI) a(n) = my(t=2+sqrt(5)); ceil(n/t); \\ _Altug Alkan_, Jul 02 2018
%Y A300763 Cf. A001622, A019446, which is ceiling(n/g), A189663, which is ceiling(n/g^2) (but shifted by one).
%Y A300763 Cf. A098317.
%K A300763 nonn
%O A300763 0,6
%A A300763 _Jeffrey Shallit_, Jul 02 2018