A293413 Least integer k such that k/n^2 > e.

0, 3, 11, 25, 44, 68, 98, 134, 174, 221, 272, 329, 392, 460, 533, 612, 696, 786, 881, 982, 1088, 1199, 1316, 1438, 1566, 1699, 1838, 1982, 2132, 2287, 2447, 2613, 2784, 2961, 3143, 3330, 3523, 3722, 3926, 4135, 4350, 4570, 4796, 5027, 5263, 5505, 5752, 6005

Offset

0,2

Links

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

Formula

a(n) = ceiling(e*n^2).

a(n) = A293412(n) + 1 for n > 0.

Mathematica

z = 120; r = E;
Table[Floor[r*n^2], {n, 0, z}];   (* A293412 *)
Table[Ceiling[r*n^2], {n, 0, z}]; (* A293413 *)
Table[Round[r*n^2], {n, 0, z}];   (* A293414 *)
Ceiling[E Range[0, 50]^2] (* Harvey P. Dale, May 13 2019 *)

Crossrefs

Cf. A001113, A293412, A293414.

Sequence in context: A231068 A185258 A118436 * A056106 A320035 A147382

Adjacent sequences: A293410 A293411 A293412 * A293414 A293415 A293416

Keyword

nonn,easy

Author

Clark Kimberling, Oct 12 2017

Status

approved