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 A378128 #12 Nov 20 2024 17:41:19 %S A378128 7,6,2,7,5,9,7,6,3,5,0,1,8,1,3,1,8,8,0,6,2,3,2,5,9,8,0,9,6,3,6,1,5,7, %T A378128 9,3,2,9,2,6,2,9,2,3,7,3,4,8,0,7,2,9,1,5,2,1,7,0,7,1,5,9,8,2,6,4,4,2, %U A378128 2,6,9,2,9,5,6,2,5,6,1,9,2,1,9,5,4,6,6,1,4,6 %N A378128 Decimal expansion of 2/L, where L is the lemniscate constant (A062539). %H A378128 Wikipedia, <a href="https://en.wikipedia.org/wiki/Lemniscate_constant">Lemniscate constant</a> (includes this constant). %H A378128 <a href="/index/Ga#gamma_function">Index to sequences related to the Gamma function</a>. %F A378128 Equals 1/A085565. %F A378128 Equals 2*sqrt(2)*Gamma(3/4)^2/Pi^(3/2) = A010466*A175575. %F A378128 Equals Product_{k >= 1} b(k), where b(1) = sqrt(1/2) and, for k >= 2, b(k) = sqrt(1/2 + (1/2)/b(k-1)). %e A378128 0.76275976350181318806232598096361579329262923734807... %t A378128 First[RealDigits[Sqrt[8]*Gamma[3/4]^2/Pi^(3/2), 10, 100]] %Y A378128 Cf. A010466, A062539, A085565, A175575. %Y A378128 Cf. A377999, A378129, A378130, A378131, A378132. %K A378128 nonn,cons,easy %O A378128 0,1 %A A378128 _Paolo Xausa_, Nov 17 2024