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%I #8 Jun 09 2017 11:41:42
%S 0,5,45,351,2847,25047,241047,2534247,28984167,358842087,4785978087,
%T 68453274087,1045616538087,16993016806887,292825130163687,
%U 5333909818803687,102415654899123687,2067588695129523687,43785455761653171687,970599475776544179687
%N Row sums of A051949 (differences of factorial numbers), seen as a triangle.
%H G. C. Greubel, <a href="/A185009/b185009.txt">Table of n, a(n) for n = 1..445</a>
%F a(n)= (n-1)*(n+1)*n! - sum( i!, i=1..n-1)
%t Table[Plus @@ Prepend[Table[(n + 1)! - i!, {i, n, 2, -1}], (n)! - 1], {n, 0, 20}]
%o (PARI) for(n=1,25, print1((n^2-1)*n! - sum(k=1,n-1, k!), ", ")) \\ _G. C. Greubel_, Jun 09 2017
%Y cf. A051949.
%Y Other summations of differences of factorials : A206816, A206817, A065355.
%K nonn,easy
%O 1,2
%A _Olivier Gérard_, Nov 02 2012