A392453 Decimal expansion of Gamma(1/3)^18/(8960*Pi^6).

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

Offset

1,1

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

Index to sequences related to the Gamma function

Index entries for transcendental numbers.

Formula

Equals Gamma(1/6)^9/(90720*sqrt(3)*Pi^(3/2)) = A175379^9 / (90720 * A002161 * A304656).

Equals Sum_{z is an Eisenstein integer != 0} 1/z^6.

Equals G_6(exp(2*Pi*i/3)), where G_6 is the Eisenstein series of weight 6.

Example

5.863031693425401597970213443837823437515376204129557512282731112304952...

Mathematica

First[RealDigits[Gamma[1/3]^18/(8960*Pi^6), 10, 100]] (* Paolo Xausa, Feb 20 2026 *)

Prog

(PARI) gamma(1/3)^18/(8960*Pi^6)

Crossrefs

Cf. A073005, A092732, A175379, A002161, A304656.

Sequence in context: A378872 A011424 A388358 * A011495 A136258 A102519

Adjacent sequences: A392450 A392451 A392452 * A392454 A392455 A392456

Keyword

nonn,cons,easy,changed

Author

Arkadiusz Wesolowski, Feb 10 2026

Status

approved