OFFSET
0,1
FORMULA
HypergeometricPFQ((1,3/2),(2/3,4/3),-4/27).
EXAMPLE
0.772477052213696364357836702455607205794658...
MATHEMATICA
s = Sum[(-1)^k (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]
PROG
(PARI) suminf(k=0, (-1)^k*(2*k + 1)!/(3*k + 1)!) \\ Michel Marcus, Jun 01 2024
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Clark Kimberling, May 31 2024
STATUS
approved