proposed

approved

editing

proposed

allocated for Clark KimberlingLeast integer k such that k/n^2 > (3 + sqrt(5))/2 (the golden ratio).

0, 3, 11, 24, 42, 66, 95, 129, 168, 213, 262, 317, 377, 443, 514, 590, 671, 757, 849, 946, 1048, 1155, 1268, 1385, 1508, 1637, 1770, 1909, 2053, 2202, 2357, 2516, 2681, 2852, 3027, 3208, 3393, 3585, 3781, 3983, 4189, 4401, 4619, 4841, 5069, 5302, 5540, 5784

0,2

Clark Kimberling, <a href="/A293404/b293404.txt">Table of n, a(n) for n = 0..1000</a>

a(n) = ceiling(r*n^2), where r = (3 + sqrt(5))/2.

a(n) = A293403(n) + 1 for n > 0.

z = 120; r = 1+GoldenRatio;

Table[Floor[r*n^2], {n, 0, z}]; (* A293403 *)

Table[Ceiling[r*n^2], {n, 0, z}]; (* A293404 *)

Table[Round[r*n^2], {n, 0, z}]; (* A293405 *)

Cf. A001622, A293402, A293403, A293405.

allocated

nonn,easy

Clark Kimberling, Oct 11 2017

approved

editing

allocated for Clark Kimberling

allocated

approved