OFFSET
1,2
LINKS
Ivan Neretin, Table of n, a(n) for n = 1..10000
FORMULA
a(n) = n! mod (n*(n+1)*(n+2)/6).
For n>4: if neither n+1 nor n+2 is prime, then a(n)=0. Otherwise, a(n)=n(n+1)/2 for odd n and a(n)=n(n+2) for even n. - Ivan Neretin, May 18 2015
MAPLE
MATHEMATICA
Table[Mod[n!, n (n + 1) (n + 2)/6], {n, 66}] (* Ivan Neretin, May 18 2015 *)
PROG
(Python)
f = 1
for i in range(1, 100):
f *= i
print str(f % (i*(i+1)*(i+2)/6))+', ',
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Alex Ratushnyak, Jun 15 2013
STATUS
approved