%I A103816
%S A103816 0,1,1,2,5,19,91,177,3641,28673,28319,2523223,27526069,109339663,
%T A103816 4239014627,59043418019,26718637649,14052333488521,238063061452591,
%U A103816 158218865944829,7358312808534631,124213980448686521
%N A103816 Numerator of Sum_{k=1..n} (-1)^(k+1)/k!.
%C A103816 Numerator of (n!-A000166(n))/n!.
%C A103816 Numerator of 1 - A053557/A053556.
%H A103816 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               ContinuedFractionConstant.html">Continued Fraction Constant</a> [From 
               Eric W. Weisstein (eric(AT)weisstein.com), Oct 03 2008]
%t A103816 Table[ Numerator[ Sum[ -(-1)^k/k!, {k, n}]], {n, 0, 22}] (* Robert G. 
               Wilson v *)
%Y A103816 Cf. A053556 (denominators).
%Y A103816 Sequence in context: A124348 A052324 A020115 this_sequence A052169 A020019 
               A020109
%Y A103816 Adjacent sequences: A103813 A103814 A103815 this_sequence A103817 A103818 
               A103819
%K A103816 nonn,frac,nice,easy
%O A103816 0,4
%A A103816 N. J. A. Sloane (njas(AT)research.att.com), Apr 02 2005
%E A103816 More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Oct 13 2005