A372776 - OEIS

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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

(list; constant; graph; refs; listen; history; text; internal format)

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]