A371499 Decimal expansion of Sum_{k>=0} 1/(k^2)!.
2, 0, 4, 1, 6, 6, 9, 4, 2, 2, 3, 9, 8, 6, 3, 6, 8, 6, 0, 0, 2, 9, 0, 5, 5, 8, 6, 0, 7, 2, 1, 0, 6, 6, 2, 9, 1, 1, 7, 5, 3, 7, 9, 7, 4, 8, 0, 0, 7, 6, 6, 3, 5, 1, 3, 3, 1, 5, 4, 8, 9, 1, 4, 5, 6, 7, 4, 8, 4, 6, 8, 0, 2, 0, 0, 4, 7, 6, 1, 8, 9, 8, 3, 9, 9, 4
Offset: 0
Examples
2.04166942239863686002905586072...
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^2)!) \\ Hugo Pfoertner, Mar 30 2024
Formula
(This constant) - (constant in A371498) = 2.00000551146384...