A372773 Decimal expansion of Sum_{k>=0} (2*k + 1)!/(3*k + 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

Links

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

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

Adjacent sequences: A372770 A372771 A372772 * A372774 A372775 A372776

Keyword

nonn,cons

Author

Clark Kimberling, May 31 2024

Status

approved