[go: up one dir, main page]

login
A346451
Decimal expansion of 23 * Pi^4 / (1296 * sqrt(3)).
5
9, 9, 8, 0, 7, 1, 5, 9, 9, 8, 3, 7, 9, 2, 8, 6, 8, 7, 3, 2, 9, 7, 0, 9, 6, 9, 8, 1, 2, 0, 2, 3, 4, 9, 5, 5, 7, 2, 5, 7, 8, 6, 6, 7, 7, 4, 4, 2, 0, 9, 0, 5, 1, 3, 1, 8, 0, 1, 1, 3, 7, 7, 6, 8, 6, 4, 0, 5, 6, 9, 7, 1, 9, 0, 0, 3, 2, 5, 3, 7, 1, 4, 5, 8, 2, 3, 6
OFFSET
0,1
REFERENCES
L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (329).
FORMULA
Equals 23 * Pi^4 / (2^4 * 3^4 * sqrt(3)).
Equals 1 + Sum_{k>=1} ( (-1)^k/(6*k-1)^4 + (-1)^k/(6*k+1)^4 ).
EXAMPLE
0.99807159983792868732970969812...
MATHEMATICA
First[RealDigits[N[23*Pi^4/(2^4*3^4*Sqrt[3]), 100]]] (* Stefano Spezia, Jul 19 2021 *)
RealDigits[(23 Pi^4)/(1296 Sqrt[3]), 10, 120][[1]] (* Harvey P. Dale, Jun 20 2023 *)
CROSSREFS
KEYWORD
nonn,cons,easy
AUTHOR
Sean A. Irvine, Jul 18 2021
STATUS
approved