login
A185009
Row sums of A051949 (differences of factorial numbers), seen as a triangle.
2
0, 5, 45, 351, 2847, 25047, 241047, 2534247, 28984167, 358842087, 4785978087, 68453274087, 1045616538087, 16993016806887, 292825130163687, 5333909818803687, 102415654899123687, 2067588695129523687, 43785455761653171687, 970599475776544179687
OFFSET
1,2
LINKS
FORMULA
a(n)= (n-1)*(n+1)*n! - sum( i!, i=1..n-1)
MATHEMATICA
Table[Plus @@ Prepend[Table[(n + 1)! - i!, {i, n, 2, -1}], (n)! - 1], {n, 0, 20}]
PROG
(PARI) for(n=1, 25, print1((n^2-1)*n! - sum(k=1, n-1, k!), ", ")) \\ G. C. Greubel, Jun 09 2017
CROSSREFS
cf. A051949.
Other summations of differences of factorials : A206816, A206817, A065355.
Sequence in context: A190540 A268219 A272494 * A376525 A125836 A001260
KEYWORD
nonn,easy
AUTHOR
Olivier Gérard, Nov 02 2012
STATUS
approved