OFFSET
0,2
COMMENTS
It is unknown if all numbers of the form n*n!+1 are squarefree. n*n!+1 is squarefree for 0 < n < 52. It is unknown if there exist infinitely many primes of the form n*n!+1. For primes in this sequence, see A049984.
FORMULA
E.g.f.: exp(x) + x/(1 - x)^2. - Stefano Spezia, Aug 03 2022
MATHEMATICA
Table[(n*Factorial[n])+1, {n, 0, 30}]
PROG
(PARI) a(n) = n*n! + 1; \\ Michel Marcus, Aug 03 2022
CROSSREFS
KEYWORD
nonn,easy,nice
AUTHOR
John M. Campbell, Apr 17 2011
EXTENSIONS
a(0)=1 prepended by Alois P. Heinz, Aug 03 2022
STATUS
approved