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

0,2

Comments

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

Links

Table of n, a(n) for n=0..43.

Mathematica

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

Crossrefs

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

Sequence in context: A352041 A295072 A206739 * A206737 A275174 A282582

Adjacent sequences: A107583 A107584 A107585 * A107587 A107588 A107589

Keyword

nonn

Author

Henry Bottomley, May 16 2005

Status

approved