A346931 Decimal expansion of 403 * Pi^6 / 393660.

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

Offset

0,1

References

L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (312).

Links

Table of n, a(n) for n=0..86.

Michael I. Shamos, Shamos's catalog of the real numbers (2011).

Index entries for transcendental numbers.

Formula

Equals 13 * 31 * Pi^6 / (2^2 * 3^9 * 5).

Equals 1 + Sum_{k>=1} ( (-1)^k/(3*k-1)^6 + (-1)^k/(3*k+1)^6 ).

Example

0.9841991693614989791271107955899131718830...

Mathematica

RealDigits[403 * Pi^6 / 393660, 10, 120][[1]] (* Amiram Eldar, Jun 20 2023 *)

Crossrefs

Cf. A346933, A346932, A346930, A346929.

Sequence in context: A094139 A330380 A021508 * A199862 A019720 A200117

Adjacent sequences: A346928 A346929 A346930 * A346932 A346933 A346934

Keyword

nonn,cons

Author

Sean A. Irvine, Aug 07 2021

Status

approved