A346932 Decimal expansion of 7 * Pi^4 / 729.

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

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 7 * Pi^4 / 3^6.

Equals 1 + Sum_{k>=1} ( (-1)^k/(3*k-1)^4 + (-1)^k/(3*k+1)^4 ).

Example

0.9353410661701194247669167747886636196818835386951960...

Mathematica

RealDigits[7 * Pi^4 / 729, 10, 120][[1]] (* Amiram Eldar, Jun 20 2023 *)

Crossrefs

Cf. A346933, A346931, A346930, A346929.

Sequence in context: A154978 A011235 A011212 * A371857 A371604 A145924

Adjacent sequences: A346929 A346930 A346931 * A346933 A346934 A346935

Keyword

nonn,cons

Author

Sean A. Irvine, Aug 07 2021

Status

approved