A145914 a(n) is the smallest integer k such that log(1/log((1+k)^(1/k))) > n.

5, 24, 91, 315, 1030, 3265, 10113, 30811, 92674, 275947, 814940, 2390374, 6971243, 20231089, 58462783, 168314905, 482990543, 1381928691, 3943632121, 11227515044, 31896566383, 90440011395, 255980057462, 723342392122, 2040937869097, 5750599584280, 16182211978468

Offset

1,1

Comments

log(1/log((1+k)^(1/k))) = log(1/Hypergeometric2F1[1,1,2,-z]).

Links

Alois P. Heinz, Table of n, a(n) for n = 1..2294

Maple

a:= n-> ceil(-LambertW(-1, -exp(-n-exp(-n)))*exp(n)-1):
seq(a(n), n=1..40);  # Alois P. Heinz, Mar 23 2017

Mathematica

a = {}; k = 1; Do[If[N[Log[1/Log[(1 + n)^(1/n)]]] > k, Print[n]; AppendTo[a, n]; k = k + 1], {n, 1, 1000000}]; a

Crossrefs

Cf. A145913.

Sequence in context: A220339 A158499 A074085 * A066316 A271458 A301526

Adjacent sequences: A145911 A145912 A145913 * A145915 A145916 A145917

Keyword

nonn

Author

Artur Jasinski, Oct 24 2008

Extensions

More terms from Indranil Ghosh, Mar 23 2017

a(16)-a(27) from Alois P. Heinz, Mar 23 2017

Status

approved