A394964 Decimal expansion of Pi^5/768.

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

Offset

0,1

References

G. H. Hardy, P. V. Seshu Aiyar, and B. M. Wilson, Collected Papers of Srinivasa Ramanujan, Chelsea Publishing Co., N.Y., 1962. See p. xxvi, eq. (6).

Links

Table of n, a(n) for n=0..104.

H. F. Sandham, Some infinite series, Proc. Amer. Math. Soc., Vol. 5 (1954), pp. 430-436. See p. 430, eq. 1.12.

Index entries for transcendental numbers.

Formula

Equals Sum_{k>=1} (-1)^(k+1)/((2*k-1)^5*cosh((2*k-1)*Pi/2)).

Example

0.398463131230835225602527747452390112604558211755305...

Mathematica

RealDigits[Pi^5/768, 10, 120][[1]]

Prog

(PARI) Pi^5/768

Crossrefs

Cf. A092731, A394965.

Sequence in context: A388573 A395846 A388665 * A388208 A229350 A070342

Adjacent sequences: A394961 A394962 A394963 * A394965 A394966 A394967

Keyword

nonn,cons,changed

Author

Amiram Eldar, Apr 08 2026

Status

approved