A372776 Decimal expansion of Sum_{k>=0} (2*k)!/(3*k + 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

Links

Table of n, a(n) for n=1..86.

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 A265292

Adjacent sequences: A372773 A372774 A372775 * A372777 A372778 A372779

Keyword

nonn,cons

Author

Clark Kimberling, May 31 2024

Status

approved