OFFSET
2,1
COMMENTS
The next term, a(6) = 2.808...*10^86, is too large to include in the data section.
a(n) is an integer for all n >= 2 (Aloff, 2022).
Conjecture: for k >= 0, a(n) is divisible by 2^2^k+1 = A000215(k) for all n >= 2^max{k,1}. - Jianing Song, May 17 2022
LINKS
Amiram Eldar, Table of n, a(n) for n = 2..8
Simon Aloff, A Family of Infinite Series Taking Integer Values, Missouri J. Math. Sci., Vol. 34 , No. 1 (2022), pp. 1-18.
Eric Weisstein's World of Mathematics, Polylogarithm.
Wikipedia, Polylogarithm.
FORMULA
a(n) = Sum_{k>=1} k^2^n/3^k. - Jianing Song, May 17 2022
MATHEMATICA
a[n_] := PolyLog[-2^n, 1/3]; Array[a, 5, 2]
PROG
(PARI) a(n) = polylog(-2^n, 1/3); \\ Michel Marcus, May 16 2022
CROSSREFS
KEYWORD
nonn
AUTHOR
Amiram Eldar, May 16 2022
STATUS
approved