A337710 Decimal expansion of 8*Pi^6/63 = 5!*zeta(6).

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

Offset

3,2

Links

Table of n, a(n) for n=3..80.

Index entries for transcendental numbers

Formula

Equals Integral_{x>=0} x^5/(exp(x) - 1) dx = 5!*A013664.

Equals -Integral_{x=0..1} log(x)^5/(1-x) dx. - Amiram Eldar, May 27 2021

Example

122.081167438133896765742151574910463348218098803...

Mathematica

RealDigits[8*Pi^6/63, 10, 100][[1]] (* Amiram Eldar, May 27 2021 *)

Prog

(PARI) 5!*zeta(6) \\ Charles R Greathouse IV, Oct 01 2022

Crossrefs

Cf. A013664, A231535 (Integral with x^3).

Sequence in context: A021457 A305605 A137456 * A248948 A364288 A009187

Adjacent sequences: A337707 A337708 A337709 * A337711 A337712 A337713

Keyword

nonn,cons

Author

Wolfdieter Lang, Sep 16 2020

Status

approved