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A248557
Decimal expansion of (Pi/2)^(1/4)/Gamma(3/4).
3
9, 1, 3, 5, 7, 9, 1, 3, 8, 1, 5, 6, 1, 1, 6, 8, 2, 1, 4, 0, 7, 2, 4, 2, 5, 9, 3, 4, 0, 1, 2, 2, 2, 0, 8, 9, 7, 0, 1, 9, 6, 3, 9, 1, 6, 3, 9, 3, 4, 6, 9, 0, 3, 3, 4, 1, 9, 6, 9, 6, 5, 3, 1, 2, 6, 5, 9, 0, 8, 0, 0, 9, 3, 7, 2, 0, 0, 9, 1, 1, 3, 9, 6, 3, 2, 8, 8, 9, 8, 3, 3, 5, 9, 5, 8, 0, 1, 3, 8, 8, 9, 8, 5
OFFSET
0,1
FORMULA
Also equals theta_2(0,exp(-Pi)), where 'theta' is the elliptic theta function.
Equals A175573 / exp(4*A251992/Pi + Pi/4).
Equals Product_{k>=1} tanh(k*Pi/2). - Amiram Eldar, Jun 12 2021
EXAMPLE
0.913579138156116821407242593401222089701963916393469...
MATHEMATICA
RealDigits[(Pi/2)^(1/4)/Gamma[3/4], 10, 103] // First
PROG
(PARI) (Pi/2)^(1/4)/gamma(3/4) \\ Michel Marcus, Dec 15 2014
CROSSREFS
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved