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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
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
Sequence in context: A120088 A081737 A005475 * A293414 A212252 A295622
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Oct 11 2017
STATUS
approved

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Last modified July 19 16:24 EDT 2024. Contains 374410 sequences. (Running on oeis4.)