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A367731
Decimal expansion of Sum_{k>=1} 1 / (k^2 * k!).
2
1, 1, 4, 6, 4, 9, 9, 0, 7, 2, 5, 2, 8, 6, 4, 2, 8, 0, 7, 9, 0, 1, 1, 9, 5, 2, 0, 2, 4, 6, 4, 7, 1, 8, 6, 8, 8, 6, 1, 9, 2, 9, 1, 7, 7, 3, 3, 8, 8, 1, 0, 9, 4, 7, 0, 4, 3, 0, 3, 5, 3, 2, 6, 5, 1, 0, 9, 0, 1, 5, 8, 4, 3, 6, 9, 6, 4, 7, 7, 1, 4, 2, 0, 8, 8, 7, 3, 6, 4, 6, 8, 6, 6, 7, 1, 0, 0, 1, 6, 4
OFFSET
1,3
FORMULA
From Peter Bala, Feb 10 2024: (Start)
Equals (1/2)*Integral_{x = 0..1} exp(x)*log(x)^2 dx.
Equals the triple integral Integral_{z = 0..1} Integral_{y = 0..1} Integral_{x = 0..1} exp(x*y*z) dx dy dz. (End)
EXAMPLE
1.1464990725286428079011952024647...
MATHEMATICA
RealDigits[HypergeometricPFQ[{1, 1, 1}, {2, 2, 2}, 1], 10, 100][[1]]
PROG
(PARI) intnum(x=0, 1, exp(x)*log(x)^2)/2 \\ Hugo Pfoertner, Feb 12 2024
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Ilya Gutkovskiy, Nov 28 2023
STATUS
approved