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Decimal expansion of 2 - 305 * Pi^5 / 93312.
6

%I #28 Aug 05 2024 13:47:28

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

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

%U 7,2,0,5,4,9,6,0,5,3,2,6,7,8,7,3,7,5,7

%N Decimal expansion of 2 - 305 * Pi^5 / 93312.

%D L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (316).

%H Michael I. Shamos, <a href="https://citeseerx.ist.psu.edu/pdf/ae33a269baba5e8b1038e719fb3209e8a00abec5">Shamos's catalog of the real numbers</a> (2011).

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

%F Equals 2 + 5 * 61 * Pi^5 / (2^7 * 3^6).

%F Equals 1 + Sum_{k>=1} ( ((-1)^k/(6*k-1)^5 - (-1)^k/(6*k+1)^5) ).

%e 0.99974275699255354889900441997548161...

%t RealDigits[2 - 305 * Pi^5 / 93312, 10, 120][[1]] (* _Amiram Eldar_, Jun 21 2023 *)

%o (PARI) 2-305*Pi^5/93312 \\ _Charles R Greathouse IV_, Sep 28 2022

%Y Cf. A092731, A346573, A346572, A346570.

%K nonn,cons

%O 0,1

%A _Sean A. Irvine_, Jul 23 2021