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A293403 Greatest integer k such that k/n^2 < (3 + sqrt(5))/2. 4
0, 2, 10, 23, 41, 65, 94, 128, 167, 212, 261, 316, 376, 442, 513, 589, 670, 756, 848, 945, 1047, 1154, 1267, 1384, 1507, 1636, 1769, 1908, 2052, 2201, 2356, 2515, 2680, 2851, 3026, 3207, 3392, 3584, 3780, 3982, 4188, 4400, 4618, 4840, 5068, 5301, 5539, 5783 (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) = floor(r*n^2), where r = (3 + sqrt(5))/2.

a(n) = A293404(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, A293401, A293404, A293405.

Sequence in context: A120548 A284360 A255606 * A316451 A120845 A330280

Adjacent sequences:  A293400 A293401 A293402 * A293404 A293405 A293406

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Oct 11 2017

STATUS

approved

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Last modified June 5 15:37 EDT 2020. Contains 334852 sequences. (Running on oeis4.)