A346849 Decimal expansion of 2 - 307 * Pi^7 / (655360 * sqrt(2)).

9, 9, 9, 5, 5, 6, 5, 2, 5, 3, 9, 4, 3, 4, 4, 9, 9, 6, 4, 2, 6, 9, 7, 2, 4, 9, 4, 6, 3, 5, 5, 1, 7, 7, 0, 1, 4, 8, 2, 5, 0, 1, 7, 1, 1, 1, 9, 9, 8, 9, 1, 9, 7, 1, 3, 6, 7, 1, 4, 0, 0, 7, 1, 6, 5, 6, 9, 3, 7, 9, 7, 9, 2, 4, 1, 8, 5, 1, 9, 0, 6, 7, 7, 1, 7, 0, 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 - 307 * Pi^7 / (5 * 2^17 * sqrt(2)).

Equals 1 + Sum_{k>=1} ( (-1)^k/(4*k-1)^7 - (-1)^k/(4*k+1)^7 ).

Example

0.99955652539434499642697249463551770148250...

Mathematica

RealDigits[2 - 307*Pi^7/(655360*Sqrt[2]), 10, 120][[1]] (* Amiram Eldar, Jun 13 2023 *)

Crossrefs

Cf. A346570, A346908, A346907, A346850.

Sequence in context: A111613 A111591 A258814 * A146488 A051557 A146491

Adjacent sequences: A346846 A346847 A346848 * A346850 A346851 A346852

Keyword

nonn,cons

Author

Sean A. Irvine, Aug 06 2021

Status

approved