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 A352125 #31 Nov 22 2024 11:05:42
%S A352125 1,0,2,6,1,7,2,1,5,2,9,7,7,0,3,0,8,8,8,8,7,1,4,6,7,7,8,0,8,7,2,8,3,1,
%T A352125 9,7,4,9,7,9,6,2,1,5,8,8,1,9,5,8,1,6,1,1,9,6,2,2,5,4,9,6,4,6,6,6,8,6,
%U A352125 8,5,0,3,1,7,5,5,6,3,2,7,1,3,4,1,8,9,1,5,3,3,6,5,6,2,0
%N A352125 Decimal expansion of Pi*sqrt(2)*sqrt(2 + sqrt(2))/8.
%D A352125 Jean-François Pabion, Éléments d'Analyse Complexe, licence de Mathématiques, page 111, Ellipses, 1995.
%H A352125 Philippe Flajolet and Robert Sedgewick, <a href="http://algo.inria.fr/flajolet/Publications/AnaCombi/anacombi.html">Analytic Combinatorics</a>, Cambridge Univ. Press, 2009, pp. 235-236.
%H A352125 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%F A352125 Equals Integral_{x=0..oo} 1/(1 + x^8) dx.
%F A352125 Equals Pi*csc(Pi/8)/8.
%F A352125 Equals 1/Product_{k>=1} (1 - 1/(8*k)^2). - _Amiram Eldar_, Mar 12 2022
%F A352125 Equals Product_{k>=2} (1 + (-1)^k/A047522(k)). - _Amiram Eldar_, Nov 22 2024
%e A352125 1.02617215297703088887146778087283197497962...
%t A352125 First[RealDigits[N[Pi*Sqrt[2]Sqrt[2+Sqrt[2]]/8,95]]]
%o A352125 (PARI) Pi*sqrt(4 + 2*sqrt(2))/8 \\ _Michel Marcus_, Mar 07 2022
%Y A352125 Cf. A000796, A047522, A121601.
%Y A352125 Integral_{x=0..oo} 1/(1+x^m) dx: A019669 (m=2), A248897 (m=3), A093954 (m=4), A352324 (m=5), A019670 (m=6), this sequence (m=8), A094888 (m=10).
%K A352125 nonn,cons
%O A352125 1,3
%A A352125 _Stefano Spezia_, Mar 05 2022