A371498 Decimal expansion of Sum_{k>=0} ((-1)^k)/(k^2)!.
4, 1, 6, 6, 3, 9, 1, 0, 9, 3, 4, 7, 9, 2, 0, 6, 2, 8, 5, 0, 9, 2, 5, 2, 2, 0, 3, 1, 8, 2, 1, 5, 8, 0, 6, 3, 0, 7, 7, 8, 1, 3, 1, 2, 6, 4, 6, 7, 5, 4, 3, 3, 2, 0, 4, 3, 6, 1, 4, 5, 2, 4, 9, 4, 4, 9, 6, 4, 3, 7, 9, 6, 1, 5, 2, 3, 5, 4, 3, 7, 5, 6, 0, 7, 9, 7
Offset: 0
Examples
0.0416639109347920628509252203182...
Crossrefs
Cf. A371499.
Programs
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Mathematica
s[x_] := s[x] = Sum[x^n/((n^2)!), {n, 0, Infinity}] First[RealDigits[N[s[-1], 100]]] -
PARI
suminf(k=0,((-1)^k)/(k^2)!) \\ Hugo Pfoertner, Mar 30 2024
Formula
(Constant in A371499) - (this constant) = 2.00000551146384...