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A372776
Decimal expansion of Sum_{k>=0} (2*k)!/(3*k + 1)!.
1
1, 0, 8, 8, 3, 0, 0, 3, 0, 3, 2, 5, 4, 4, 2, 7, 5, 6, 1, 6, 8, 7, 2, 0, 2, 9, 0, 8, 3, 5, 3, 3, 8, 1, 9, 0, 8, 6, 8, 5, 9, 0, 7, 7, 5, 5, 5, 8, 0, 8, 1, 4, 8, 8, 0, 3, 2, 5, 2, 3, 1, 6, 8, 3, 0, 9, 3, 2, 0, 1, 8, 4, 8, 7, 4, 5, 6, 0, 4, 6, 0, 5, 8, 8, 9, 1
OFFSET
1,3
FORMULA
Equals hypergeometric([1/2, 1], [2/3, 4/3], 4/27).
EXAMPLE
1.088300303254427561687202908353381908685907755580814880...
MATHEMATICA
s = Sum[(2 k)!/(3 k + 1)!, {k, 0, Infinity}]
d = N[s, 100]
First[RealDigits[d]]
N[HypergeometricPFQ[{1/2, 1}, {2/3, 4/3}, 4/27], 100]
PROG
(PARI) suminf(k=0, (2*k)!/(3*k + 1)!) \\ ~~~é
CROSSREFS
Cf. A372775.
Sequence in context: A011464 A019871 A174235 * A185266 A210630 A377008
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, May 31 2024
STATUS
approved