A164108 Decimal expansion of Pi^4/24.

4, 0, 5, 8, 7, 1, 2, 1, 2, 6, 4, 1, 6, 7, 6, 8, 2, 1, 8, 1, 8, 5, 0, 1, 3, 8, 6, 2, 0, 2, 9, 3, 7, 9, 6, 3, 5, 4, 0, 5, 3, 1, 6, 0, 6, 9, 6, 9, 5, 2, 2, 5, 9, 0, 3, 8, 1, 1, 1, 6, 0, 8, 0, 7, 9, 1, 5, 4, 5, 2, 3, 1, 0, 7, 0, 1, 1, 3, 3, 1, 7, 4, 5, 8, 8, 4, 1, 1, 1, 3, 4, 7, 8, 1, 3, 7, 4, 6, 8, 9, 6, 2, 3, 7, 1

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.

Index entries for transcendental numbers

Formula

Equals A164109/8 = A092425/24 = A072691*A102753.

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

Cf. A000796, A019699, A102753, A164103, A164105, A164106.

Sequence in context: A198747 A021965 A355921 * A064520 A267313 A108174

Adjacent sequences: A164105 A164106 A164107 * A164109 A164110 A164111

Keyword

cons,nonn

Author

R. J. Mathar, Aug 10 2009

Status

approved