A346850 Decimal expansion of 2 - 19 * Pi^5 / (4096 * sqrt(2)).

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

Offset

0,1

References

L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (326).

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 2 - 19 * Pi^5 / (2^12 * sqrt(2)).

Equals 1 + Sum_{k>=1} ( (-1)^k/(4*k-1)^5 - (-1)^k/(4*k+1)^5 ).

Example

0.9962443136043449890150002455290495214554520...

Mathematica

RealDigits[2 - 19*Pi^5/(4096*Sqrt[2]), 10, 120][[1]] (* Amiram Eldar, Jun 13 2023 *)

Crossrefs

Cf. A346571, A346908, A346907, A346849.

Sequence in context: A175571 A019894 A347150 * A344505 A334478 A262823

Adjacent sequences: A346847 A346848 A346849 * A346851 A346852 A346853

Keyword

nonn,cons

Author

Sean A. Irvine, Aug 06 2021

Status

approved