This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A282824 #28 Feb 16 2025 08:33:42
%S A282824 2,5,4,1,8,7,9,6,4,7,6,7,1,6,0,6,4,9,8,3,9,7,6,6,2,8,8,0,4,1,7,0,7,8,
%T A282824 2,4,9,1,2,0,5,0,4,4,1,2,9,8,7,4,1,3,5,5,2,2,8,1,3,6,4,4,1,9,2,4,5,9,
%U A282824 4,0,6,6,4,2,0,9,1,6,7,0,8,7,1,6,6,9,2,1,3,0,0,3
%N A282824 Decimal expansion of Pi^2 - 8*K, where K is Catalan's constant.
%H A282824 G. C. Greubel, <a href="/A282824/b282824.txt">Table of n, a(n) for n = 1..10000</a>
%H A282824 Ernst D. Krupnikov and K. S. Kolbig, <a href="https://doi.org/10.1016/S0377-0427(96)00111-2">Some special cases of the generalized hypergeometric function _{q+1}F_q</a>, J. Comp. Appl. Math. 78 (1997) 79-95
%H A282824 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PolygammaFunction.html">Polygamma Function</a> (formula 25).
%H A282824 Sheldon Yang, <a href="https://dx.doi.org/10.1080/0020739X.1192.10715688">Some properties of Catalan's constant G</a>, Internat. J. Math. Ed. Sci. Tech. 23 (4) (1992) 549-556
%F A282824 Equals 16*A247037.
%F A282824 Equals Psi(1, 3/4), where Psi(r, x) is the Polygamma function of order r.
%F A282824 Because this equals Zeta(2, 3/4), with the Hurwitz Zeta function, this is the value of the series Sum_{k>=0} 1/(k + 3/4)^2 = 16*Sum_{k>=0} 1/(4*k+3)^2 with partial sums {A173953/(n+2) / A173954(n+2)}_{n>=0}. - _Wolfdieter Lang_, Nov 14 2017
%F A282824 A282823 - this = 16*A006752. - _R. J. Mathar_, Jun 07 2024
%e A282824 2.5418796476716064983976628804170782491205044129874135522813644192459406...
%t A282824 RealDigits[Pi^2 - 8 Catalan, 10, 100][[1]]
%o A282824 (PARI) Pi^2 - 8*Catalan \\ _Charles R Greathouse IV_, Jan 31 2018
%o A282824 (PARI) zetahurwitz(2,3/4) \\ _Charles R Greathouse IV_, Jan 31 2018
%o A282824 (Magma) SetDefaultRealField(RealField(100)); R:= RealField(); Pi(R)^2 - 8*Catalan(R); // _G. C. Greubel_, Aug 24 2018
%Y A282824 Cf. A000796, A006752, A247037, A173953/A173954, A282823.
%K A282824 nonn,cons
%O A282824 1,1
%A A282824 _Bruno Berselli_, Mar 06 2017