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A346728 Decimal expansion of 11 * Pi^4 / (768 * sqrt(2)). 3
9, 8, 6, 5, 4, 2, 8, 6, 0, 6, 9, 3, 9, 7, 0, 5, 0, 3, 9, 0, 1, 5, 3, 4, 4, 9, 0, 6, 1, 6, 7, 2, 6, 9, 1, 0, 9, 6, 6, 8, 3, 3, 7, 5, 7, 9, 0, 9, 5, 0, 0, 8, 5, 2, 5, 1, 7, 0, 9, 5, 2, 7, 2, 3, 1, 9, 5, 9, 4, 5, 4, 9, 5, 6, 2, 3, 9, 4, 2, 9, 7, 0, 7, 2, 0, 7, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
REFERENCES
L. B. W. Jolley, Summation of Series, Dover, 1961, Eqs. (327), (344).
LINKS
Michael I. Shamos, Shamos's catalog of the real numbers (2011).
FORMULA
Equals 11 * Pi^4 / (2^8 * 3 * sqrt(2)).
Equals 1 + Sum_{k>=1} ( (-1)^k/(4*k-1)^4 + (-1)^k/(4*k+1) ).
Equals Sum_{k>=0} (-1)^floor((k+1)/2) / (2*k+1)^4.
EXAMPLE
0.98654286069397050390153449061672691096683375790950...
MATHEMATICA
RealDigits[11*Pi^4/(768*Sqrt[2]), 10, 120][[1]] (* Amiram Eldar, Jun 13 2023 *)
CROSSREFS
Sequence in context: A246168 A248585 A105415 * A197015 A239387 A226735
KEYWORD
nonn,cons
AUTHOR
Sean A. Irvine, Jul 30 2021
STATUS
approved

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Last modified March 29 10:44 EDT 2024. Contains 371268 sequences. (Running on oeis4.)