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A293404 Least integer k such that k/n^2 > (3 + sqrt(5))/2 (the golden ratio). 4
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 (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 = (3 + sqrt(5))/2.

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

MATHEMATICA

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 *)

CROSSREFS

Cf. A001622, A293402, A293403, A293405.

Sequence in context: A120088 A081737 A005475 * A293414 A212252 A295622

Adjacent sequences:  A293401 A293402 A293403 * A293405 A293406 A293407

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Oct 11 2017

STATUS

approved

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Last modified April 19 11:00 EDT 2019. Contains 322259 sequences. (Running on oeis4.)