%I A065355
%S A065355 1,0,0,2,14,86,566,4166,34406,316646,3219686,35878886,435046886,
%T A065355 5704064486,80428314086,1213746099686,19521187251686,333363035571686,
%U A065355 6024361885107686,114864714882483686,2304476522241459686
%N A065355 n! - Sum {0<=k< n} k!.
%C A065355 Note that a(n>4) == 6 (mod 10), a(n>9) == 86 (mod 100), a(n>14) == 686 
               (mod 1000), etc. going to == ...78892005195676406894960947443557663471079579059686; 
               therefore the sequence begins 5, 10, 15, etc. This sequence is in 
               fact A007845: Least positive integer k for which 5^n divides k!. 
               - Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 02 2001
%H A065355 Harry J. Smith, <a href="b065355.txt">Table of n, a(n) for n=0,...,100</
               a>
%t A065355 Table[ n! - Sum[k!, {k, 0, n - 1} ], {n, 0, 20} ]
%o A065355 (PARI) { for (n=0, 100, s=sum(k=0, n-1, k!); write("b065355.txt", n, 
               " ", n! - s) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), 
               Oct 17 2009]
%Y A065355 Sequence in context: A075140 A037563 A005610 this_sequence A162478 A065892 
               A139183
%Y A065355 Adjacent sequences: A065352 A065353 A065354 this_sequence A065356 A065357 
               A065358
%K A065355 easy,nonn
%O A065355 0,4
%A A065355 Floor van Lamoen (fvlamoen(AT)hotmail.com), Oct 31 2001