A293360 Least integer k such that k/2^n > e^2.

8, 15, 30, 60, 119, 237, 473, 946, 1892, 3784, 7567, 15133, 30266, 60532, 121063, 242125, 484250, 968499, 1936997, 3873994, 7747987, 15495974, 30991948, 61983896, 123967791, 247935581, 495871161, 991742322, 1983484644, 3966969287, 7933938574, 15867877147

Offset: 0

Author

Clark Kimberling, Oct 11 2017

Keywords

• nonn
• easy

Links

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

Crossrefs

Cf. A072334, A293359, A293361.

Programs

Mathematica

z = 120; r = E^2;
Table[Floor[r*2^n], {n, 0, z}];   (* A293359 *)
Table[Ceiling[r*2^n], {n, 0, z}]; (* A293360 *)
Table[Round[r*2^n], {n, 0, z}];   (* A293361 *)

Formula

a(n) = ceiling(r*2^n), where r = e^2.

a(n) = A293359(n) + 1.