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A293401 Least integer k such that k/n^2 > (1 + sqrt(5))/2 (the golden ratio). 5
0, 2, 7, 15, 26, 41, 59, 80, 104, 132, 162, 196, 233, 274, 318, 365, 415, 468, 525, 585, 648, 714, 784, 856, 932, 1012, 1094, 1180, 1269, 1361, 1457, 1555, 1657, 1763, 1871, 1983, 2097, 2216, 2337, 2462, 2589 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Clark Kimberling, Table of n, a(n) for n = 0..1000

FORMULA

a(n) = ceiling(r*n^2), where r = (1 + sqrt(5))/2.

a(n) = A293400(n) + 1 for n > 0.

MATHEMATICA

z = 120; r = GoldenRatio;

Table[Floor[r*n^2], {n, 0, z}];   (* A293400 *)

Table[Ceiling[r*n^2], {n, 0, z}]; (* A293401 *)

Table[Round[r*n^2], {n, 0, z}];   (* A293402 *)

CROSSREFS

Cf. A001622, A293400, A293402.

Sequence in context: A029888 A194112 A005449 * A323038 A113422 A061802

Adjacent sequences:  A293398 A293399 A293400 * A293402 A293403 A293404

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Oct 11 2017

STATUS

approved

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Last modified May 23 11:20 EDT 2019. Contains 323514 sequences. (Running on oeis4.)