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 A293407 #4 Oct 11 2017 21:57:11
%S A293407 0,1,3,6,10,16,23,31,40,51,62,75,89,105,122,140,159,179,201,224,248,
%T A293407 273,300,327,356,387,418,451,485,520,557,594,633,674,715,758,801,847,
%U A293407 893,941,989,1039,1091,1143,1197,1252,1308,1366,1424,1484,1546,1608,1672
%N A293407 Least integer k such that k/n^2 > (-1 + sqrt(5))/2 (the golden ratio).
%H A293407 Clark Kimberling, <a href="/A293407/b293407.txt">Table of n, a(n) for n = 0..1000</a>
%F A293407 a(n) = ceiling(r*n^2), where r = (-1 + sqrt(5))/2.
%F A293407 a(n) = A152738(n) + 1 for n > 0.
%t A293407 z = 120; r = -1+GoldenRatio;
%t A293407 Table[Floor[r*n^2], {n, 0, z}]; (* A152738 *)
%t A293407 Table[Ceiling[r*n^2], {n, 0, z}]; (* A293407 *)
%t A293407 Table[Round[r*n^2], {n, 0, z}]; (* A293408 *)
%Y A293407 Cf. A001622, A293401, A293403, A152738, A293408.
%K A293407 nonn,easy
%O A293407 0,3
%A A293407 _Clark Kimberling_, Oct 11 2017