A394965 Decimal expansion of Pi^3/360.

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

Offset

0,2

Links

Table of n, a(n) for n=0..105.

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

Formula

Equals Sum_{k>=1} (-1)^(k+1)/(k^3*sinh(k*Pi)) (Sandham, 1954, p. 430, eq. 1.32). Note that equation 1.32 has an error: the powers 1^5, 2^5, 3^5, ... should be 1^3, 2^3, 3^3, ... .

Example

0.08612854633416616715410087518639276445062580157190307...

Mathematica

RealDigits[Pi^3/360, 10, 120, -1][[1]]

Prog

(PARI) Pi^3/360

Crossrefs

Cf. A091925, A394964.

Sequence in context: A199070 A372268 A011009 * A389748 A155184 A153101

Adjacent sequences: A394962 A394963 A394964 * A394966 A394967 A394968

Keyword

nonn,cons

Author

Amiram Eldar, Apr 08 2026

Status

approved