cp's OEIS Frontend

A293404 Least integer k such that k/n^2 > (3 + sqrt(5))/2 (the golden ratio).

%I A293404 #4 Oct 11 2017 21:56:58
%S A293404 0,3,11,24,42,66,95,129,168,213,262,317,377,443,514,590,671,757,849,
%T A293404 946,1048,1155,1268,1385,1508,1637,1770,1909,2053,2202,2357,2516,2681,
%U A293404 2852,3027,3208,3393,3585,3781,3983,4189,4401,4619,4841,5069,5302,5540,5784
%N A293404 Least integer k such that k/n^2 > (3 + sqrt(5))/2 (the golden ratio).
%H A293404 Clark Kimberling, <a href="/A293404/b293404.txt">Table of n, a(n) for n = 0..1000</a>
%F A293404 a(n) = ceiling(r*n^2), where r = (3 + sqrt(5))/2.
%F A293404 a(n) = A293403(n) + 1 for n > 0.
%t A293404 z = 120; r = 1+GoldenRatio;
%t A293404 Table[Floor[r*n^2], {n, 0, z}];   (* A293403 *)
%t A293404 Table[Ceiling[r*n^2], {n, 0, z}]; (* A293404 *)
%t A293404 Table[Round[r*n^2], {n, 0, z}];   (* A293405 *)
%Y A293404 Cf. A001622, A293402, A293403, A293405.
%K A293404 nonn,easy
%O A293404 0,2
%A A293404 _Clark Kimberling_, Oct 11 2017