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A372773
Decimal expansion of Sum_{k>=0} (2*k + 1)!/(3*k + 1)!.
1
1, 2, 7, 5, 2, 5, 8, 6, 4, 7, 9, 4, 7, 9, 0, 9, 1, 2, 3, 2, 8, 8, 9, 1, 9, 1, 6, 6, 8, 9, 4, 9, 5, 4, 1, 9, 7, 6, 2, 7, 5, 5, 0, 5, 7, 1, 0, 7, 0, 0, 7, 0, 6, 2, 0, 8, 2, 0, 9, 3, 2, 2, 7, 7, 4, 2, 3, 7, 7, 3, 2, 9, 4, 4, 8, 7, 1, 7, 6, 1, 3, 5, 7, 4, 4, 0
OFFSET
1,2
FORMULA
Equals hypergeom([1, 3/2], [2/3, 4/3], 4/27).
EXAMPLE
1.275258647947909123288919166894954197...
MATHEMATICA
s = Sum[(2 k + 1)!/(3 k + 1)!, {k, 0, Infinity}]
d = N[s, 100]
First[RealDigits[d]]
N[HypergeometricPFQ[{1, 3/2}, {2/3, 4/3}, 4/27], 100]
CROSSREFS
Cf. A372774.
Sequence in context: A110945 A197571 A178422 * A296564 A266262 A105387
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, May 31 2024
STATUS
approved