OFFSET
1,3
COMMENTS
Theorem: 3^(n-1) > n^n/n! for n >= 3.
REFERENCES
D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, 1970; p. 193, 3.1.21.
LINKS
Robert Israel, Table of n, a(n) for n = 1..2094
MAPLE
seq(3^(n-1)-ceil(n^n/n!), n=1..50); # Robert Israel, Jul 06 2017
MATHEMATICA
Table[3^(n-1) - Ceiling[n^n / n!], {n, 30}] (* Vincenzo Librandi, Jul 06 2017 *)
PROG
(PARI) a(n) = 3^(n-1) - ceil(n^n/n!); \\ Michel Marcus, Jul 06 2017
(Magma) [3^(n-1)-Ceiling(n^n/Factorial(n)): n in [1..30]]; // Vincenzo Librandi, Jul 06 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Apr 03 2007
STATUS
approved