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A346932 Decimal expansion of 7 * Pi^4 / 729. 4

%I #12 Jun 20 2023 10:04:25

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

%T 1,9,6,8,1,8,8,3,5,3,8,6,9,5,1,9,6,0,9,3,0,5,9,3,6,2,1,6,1,4,9,4,9,1,

%U 9,0,5,1,0,2,5,7,7,5,5,4,6,4,0,7,2,0,5

%N Decimal expansion of 7 * Pi^4 / 729.

%D L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (312).

%H Michael I. Shamos, <a href="https://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.366.9997">Shamos's catalog of the real numbers</a> (2011).

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.

%F Equals 7 * Pi^4 / 3^6.

%F Equals 1 + Sum_{k>=1} ( (-1)^k/(3*k-1)^4 + (-1)^k/(3*k+1)^4 ).

%e 0.9353410661701194247669167747886636196818835386951960...

%t RealDigits[7 * Pi^4 / 729, 10, 120][[1]] (* _Amiram Eldar_, Jun 20 2023 *)

%Y Cf. A346933, A346931, A346930, A346929.

%K nonn,cons

%O 0,1

%A _Sean A. Irvine_, Aug 07 2021

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Last modified July 11 10:17 EDT 2024. Contains 374228 sequences. (Running on oeis4.)