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A293410 Least integer k such that k/n^2 > sqrt(3). 2
0, 2, 7, 16, 28, 44, 63, 85, 111, 141, 174, 210, 250, 293, 340, 390, 444, 501, 562, 626, 693, 764, 839, 917, 998, 1083, 1171, 1263, 1358, 1457, 1559, 1665, 1774, 1887, 2003, 2122, 2245, 2372, 2502, 2635, 2772, 2912, 3056, 3203, 3354, 3508, 3666, 3827, 3991 (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 = sqrt(3).

a(n) = A171972(n) + 1 for n > 0.

MATHEMATICA

z = 120; r = Sqrt[3];

Table[Floor[r*n^2], {n, 0, z}];   (* A171972 *)

Table[Ceiling[r*n^2], {n, 0, z}]; (* A293410 *)

Table[Round[r*n^2], {n, 0, z}];   (* A070169 *)

CROSSREFS

Cf. A002194, A171972, A070169.

Sequence in context: A083508 A048231 A070169 * A162420 A130883 A005581

Adjacent sequences:  A293407 A293408 A293409 * A293411 A293412 A293413

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Oct 11 2017

STATUS

approved

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Last modified September 29 10:06 EDT 2020. Contains 337428 sequences. (Running on oeis4.)