OFFSET
2,1
COMMENTS
From Lorenzo Sauras Altuzarra, Nov 27 2022: (Start)
Are all terms pairwise coprime? If so, they induce a permutation of the natural numbers, as Fermat numbers do (see A343767).
Are all terms squarefree?
LINKS
T. D. Noe, Table of n, a(n) for n = 2..26
Lorenzo Sauras-Altuzarra, Some properties of the factors of Fermat numbers, Art Discrete Appl. Math. (2022).
FORMULA
From Lorenzo Sauras Altuzarra, Nov 27 2022: (Start)
a(n) = Sum_{k=0..prime(n)-1} (-prime(n))^k.
a(n) = F(prime(n), 1)/F(prime(n), 0), where F(b, n) = b^b^n + 1 (i.e., F(b, n) is the n-th base-b Fermat number, see A129290). (End)
MAPLE
a:= n-> (p-> (p^p+1)/(p+1))(ithprime(n)): seq(a(n), n=2..12); # Lorenzo Sauras Altuzarra, Nov 27 2022
MATHEMATICA
Table[ (Prime[ n ]^Prime[ n ] + 1)/(Prime[ n ] + 1), {n, 2, 11} ]
(#^#+1)/(#+1)&/@Prime[Range[2, 20]] (* Harvey P. Dale, Apr 23 2015 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Robert G. Wilson v, Aug 30 2000
STATUS
approved