OFFSET
1,3
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 1..5000
E. D. Krupnikov, K. S. Kolbig, Some special cases of the generalized hypergeometric function (q+1)Fq, J. Comp. Appl. Math. 78 (1997) 79-95
FORMULA
Equals -Integral_{x=0..1} log(x)/(1 - x^4) dx. - Amiram Eldar, Jul 17 2020
Equals 3F2(1/4,1/4,1;5/4,5/4;1). [Krupnikov] - R. J. Mathar, Jun 12 2024
EXAMPLE
1.074833072156694421204457444958451501344... = 1 + 1/25 + 1/81 + 1/169 + 1/289 + ...
MATHEMATICA
RealDigits[Catalan/2 + Pi^2/16, 10, 90][[1]] (* or *) RealDigits[PolyGamma[1, 1/4]/16, 10, 90]
PROG
(PARI) (8*Catalan + Pi^2)/16 \\ G. C. Greubel, Aug 23 2018
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); (8*Catalan(R) + Pi(R)^2)/16; // G. C. Greubel, Aug 23 2018
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Bruno Berselli, Feb 11 2013
STATUS
approved