A344727 Decimal expansion of 56 * Pi^7 / (98415 * sqrt(3)).

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

Offset

0,1

References

L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (310).

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 2^3 * 7 * Pi^7 / (3^9 * 5 * sqrt(3)).

Equals 1 + Sum_{k>=1} ( 1/(3*k+1)^7 - 1/(3*k-1)^7 ).

Equals Product_{p prime} (1 - Kronecker(-3, p)/p^7)^(-1) = Product_{p prime != 3} (1 + (-1)^(p mod 3)/p^7)^(-1). - Amiram Eldar, Nov 06 2023

Example

0.9922365295225111693516317453513060...

Mathematica

RealDigits[56 * Pi^7 / (98415 * Sqrt[3]), 10, 120][[1]] (* Amiram Eldar, Jun 07 2023 *)

Crossrefs

Cf. A129404, A344778, A344688.

Sequence in context: A021506 A243264 A133250 * A199623 A255169 A019892

Adjacent sequences: A344724 A344725 A344726 * A344728 A344729 A344730

Keyword

nonn,cons

Author

Sean A. Irvine, Aug 17 2021

Status

approved