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Powers of e^(1/e) rounded up.
3

%I #13 Feb 13 2024 03:03:31

%S 1,2,3,4,5,7,10,14,19,28,40,58,83,120,173,250,360,521,752,1086,1569,

%T 2266,3273,4728,6831,9868,14256,20594,29752,42981,62093,89704,129592,

%U 187217,270466,390734,564480,815486,1178107,1701973,2458785,3552127,5131644,7413521

%N Powers of e^(1/e) rounded up.

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

%t Table[Ceiling[(E^(1/E))^n],{n,0,43}] (* _James C. McMahon_, Feb 12 2024 *)

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

%K nonn

%O 0,2

%A _Henry Bottomley_, May 16 2005