A107586 Powers of e^(1/e) rounded up.

1, 2, 3, 4, 5, 7, 10, 14, 19, 28, 40, 58, 83, 120, 173, 250, 360, 521, 752, 1086, 1569, 2266, 3273, 4728, 6831, 9868, 14256, 20594, 29752, 42981, 62093, 89704, 129592, 187217, 270466, 390734, 564480, 815486, 1178107, 1701973, 2458785, 3552127, 5131644, 7413521

Offset: 0

Author

Henry Bottomley, May 16 2005

Keywords

• nonn

Comments

Smallest integer such that a(n)^x-x^n is nonnegative for all nonnegative reals x.

Crossrefs

Cf. A001113, A017984, A061481, A068985, A073229.

Programs

Mathematica

Table[Ceiling[(E^(1/E))^n],{n,0,43}] (* James C. McMahon, Feb 12 2024 *)