OFFSET
1,2
COMMENTS
A014566(n) = n^n + 1 is Sierpinski Number of the First Kind. A014566(2^n - 1) is divisible by 2^n. a(n) is a subset of A081216(n) = (n^n-(-1)^n)/(n+1).
2^p - 1 divides a(p-1) for prime p>2. Corresponding quotients are a(p-1) / (2^p - 1) = {1, 882850585445281, 28084773172609134470952326813135521948919663474715912134590894817085103016117634792155856629828598766188378241, ...}, where p = prime(n) for n>1. - Alexander Adamchuk, Jan 22 2007
LINKS
Eric Weisstein's World of Mathematics, Sierpinski Number of the First Kind.
MATHEMATICA
Table[((2^n-1)^(2^n-1)+1)/2^n, {n, 1, 7}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Alexander Adamchuk, Sep 11 2006
STATUS
approved