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.
%I A174575 #15 Mar 21 2020 09:40:48 %S A174575 0,1,1,1,1,1,1,2,2,2,3,3,4,5,5,6,7,9,10,12,14,16,19,22,25,29,34,39,46, %T A174575 53,62,71,83,96,111,129,149,173,200,232,268,311,360,417,483,560,648, %U A174575 751,869,1007,1166 %N A174575 a(n) = floor( (alpha^n-beta^n)/(alpha-beta) ), where alpha=(1 + 3^(1/4))/2 and beta = (1 - 3^(1/4))/2. %C A174575 The sequence is designed to have alpha as the limiting ratio of a(n+1)/a(n): 1.1580370064762462304... %t A174575 a = (1 + 3^(1/4))/2; b = (1 - 3^(1/4))/2; %t A174575 f[n_] := Floor[FullSimplify[(a^n - b^n)/(a - b)]] %t A174575 Table[f[n], {n, 0, 50}] %Y A174575 Cf. A174427. %K A174575 nonn,less %O A174575 0,8 %A A174575 _Roger L. Bagula_, Nov 29 2010