OFFSET
1,1
COMMENTS
Volume of the 8-dimensional unit sphere.
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..10000
Cornel Ioan Vălean, Problem 11993, The American Mathematical Monthly, Vol. 124, No. 7 (2017), p. 659; An Integral Related to Euler Sums, Solution to Problem 11993 by Abdelhak Berkane, ibid., Vol. 126, No. 4 (2019), pp. 373-374.
Eric Weisstein's World of Mathematics, Hypersphere.
Wikipedia, n-sphere.
FORMULA
Pi^4/240 = -Integral_{x=0..1} log(1-x)*log(1+x)^2/x dx (Vălean, 2017). - Amiram Eldar, Mar 26 2022
EXAMPLE
4.0587121264167682181850138620293796354053160696952259038...
MATHEMATICA
RealDigits[Pi^4/24, 10, 100][[1]] (* G. C. Greubel, Apr 09 2017 *)
PROG
(PARI) Pi^4/24 \\ G. C. Greubel, Apr 09 2017
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
R. J. Mathar, Aug 10 2009
STATUS
approved