A293412 Greatest integer k such that k/n^2 < e.

0, 2, 10, 24, 43, 67, 97, 133, 173, 220, 271, 328, 391, 459, 532, 611, 695, 785, 880, 981, 1087, 1198, 1315, 1437, 1565, 1698, 1837, 1981, 2131, 2286, 2446, 2612, 2783, 2960, 3142, 3329, 3522, 3721, 3925, 4134, 4349, 4569, 4795, 5026, 5262, 5504, 5751, 6004

Offset

0,2

Links

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

Formula

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

a(n) = A293413(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 *)

Crossrefs

Cf. A001113, A293413, A293414.

Sequence in context: A120845 A373276 A330280 * A224837 A049450 A092906

Adjacent sequences: A293409 A293410 A293411 * A293413 A293414 A293415

Keyword

nonn,easy

Author

Clark Kimberling, Oct 12 2017

Status

approved