%I #4 Apr 10 2024 09:39:31
%S 5,0,1,3,8,8,8,8,6,8,0,1,2,1,3,1,9,0,5,1,3,1,1,0,7,5,3,2,9,9,0,9,2,5,
%T 7,2,6,2,8,9,1,5,9,0,3,5,7,2,5,1,7,4,1,9,7,1,5,5,9,6,7,5,6,9,3,0,7,8,
%U 5,8,9,0,2,5,5,3,0,5,0,5,4,2,4,2,2,7
%N Decimal expansion of Sum_{k>=0} (-1)^k / (k^2 + k)!.
%F (Constant in A370013) - (this constant) = 1.0000000041753513975736197...
%e 0.501388886801213190513110753299...
%t s[x_] := s[x] = Sum[x^n/((n^2 + n)!), {n, 0, Infinity}]
%t First[RealDigits[N[s[-1], 100]]]
%Y Cf. A370013.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Apr 04 2024