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Decimal expansion of 3*Pi^2/256 - 1/9.
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%I #18 Aug 03 2024 12:34:42

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

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

%U 3,9,1,5,1,6,1,3,9,5,0,3,3,0,3,1,5,9

%N Decimal expansion of 3*Pi^2/256 - 1/9.

%H Michael Ian 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 Sum_{k>=1} 1/((2k-1)(2k+1)(2k+3))^2.

%e 0.0045483154641548102033555802936875350058...

%t RealDigits[3*Pi^2/256 - 1/9, 10, 100][[1]] (* _Amiram Eldar_, Dec 14 2021 *)

%o (PARI) 3*Pi^2/256 - 1/9

%Y Cf. A000796.

%K nonn,cons

%O -2,1

%A _Christoph B. Kassir_, Dec 13 2021