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 A377363 #9 Jul 21 2025 04:33:44
%S A377363 1,2,1,5,8,5,4,2,0,3,7,0,8,0,5,3,2,5,7,3,2,6,5,5,3,5,5,8,5,1,6,7,3,1,
%T A377363 6,6,6,8,5,2,3,0,5,2,9,6,0,6,6,9,5,8,5,8,6,1,4,7,3,0,8,3,8,2,7,3,0,0,
%U A377363 7,7,4,5,1,5,4,6,8,2,5,2,9,4,2,9,4,5,1,1,2,8,7,1,0,7,4,6,2,0,5,1
%N A377363 Decimal expansion of 12/Pi^2.
%D A377363 Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.4.4, p. 23.
%H A377363 Michael I. Shamos, <a href="http://euro.ecom.cmu.edu/people/faculty/mshamos/cat.pdf">A catalog of the real numbers</a>, (2007). See p. 263.
%H A377363 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%F A377363 Equals 2/zeta(2) = 2*A059956.
%F A377363 12/Pi^2 = 1 + K_{n>=1} n^4/(2*n+1), where K is the Gauss notation for an infinite continued fraction. In the expanded form, 12/Pi^2 = 1 + 1^4/(3 + 2^4/(5 + 3^4/(7 + 4^4/(9 + 5^4/(11 + ...))))) (see Finch at p. 23).
%F A377363 Equals 1/A072691. - _R. J. Mathar_, Jul 21 2025
%e A377363 1.215854203708053257326553558516731666852305296...
%t A377363 RealDigits[12/Pi^2,10,100][[1]]
%Y A377363 Cf. A000583, A000796, A002388, A005408, A013661, A059956.
%K A377363 nonn,cons
%O A377363 1,2
%A A377363 _Stefano Spezia_, Oct 26 2024