OFFSET
1,1
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 1..68896 (terms 1..22681 from David A. Corneth)
David A. Corneth, Identities floor((1+1/a(n)) ^ k) = k corresponding to a(n)
David A. Corneth, PARI program
Vaclav Kotesovec, Plot of a(n)/(n*log(n)) for n = 2..68896
FORMULA
Conjecture: a(n)=C*n*log(n) asymptotically with C=1.5...
EXAMPLE
Floor((1+1/4)^11) = 11 hence 4 is in the sequence.
MATHEMATICA
t = Table[Floor[Re[-LambertW[-1, -Log[1 + 1/n]]/Log[1 + 1/n]] + 1], {n, 1, 1000}]; Select[Range[Length[t]], Floor[(1 + 1/#1)^t[[#1]]] == t[[#1]]&] (* Vaclav Kotesovec, Feb 16 2019 *)
PROG
(PARI) See Corneth link \\ David A. Corneth, Feb 15 2019
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Benoit Cloitre, Jan 14 2002
EXTENSIONS
Terms 172 and 301 added by Vaclav Kotesovec, Feb 15 2019
STATUS
approved