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 A378129 #7 Nov 19 2024 00:53:35
%S A378129 7,8,3,1,8,8,7,8,5,4,1,3,6,7,3,5,5,2,9,4,3,8,9,0,6,9,3,7,9,8,2,2,2,0,
%T A378129 5,6,1,8,0,4,2,0,2,3,1,5,4,0,0,5,3,2,9,6,6,1,0,6,6,1,9,1,8,7,1,1,3,8,
%U A378129 8,6,4,5,0,2,4,0,5,9,0,3,8,4,7,9,4,5,8,7,4,4
%N A378129 Decimal expansion of log(L^2/Pi), where L is the lemniscate constant (A062539).
%H A378129 Wikipedia, <a href="https://en.wikipedia.org/wiki/Lemniscate_constant">Lemniscate constant</a> (includes this constant).
%H A378129 <a href="/index/Ga#gamma_function">Index to sequences related to the Gamma function</a>.
%F A378129 Equals log(Pi^2/(2*Gamma(3/4)^4)) = log(A002388/(2*A068465^4)).
%F A378129 Equals 2*log(2*Gamma(5/4)/Gamma(3/4)) = 2*log(A371855/A068465).
%F A378129 Equals Integral_{x=0..oo} exp(-x)*tanh(x)/x dx.
%e A378129 0.78318878541367355294389069379822205618042023154005...
%t A378129 First[RealDigits[Log[Pi^2/2/Gamma[3/4]^4], 10, 100]] (* or *)
%t A378129 First[RealDigits[Integrate[Exp[-x]*Tanh[x]/x, {x, 0, Infinity}], 10, 100]]
%Y A378129 Cf. A002388, A062539, A068465, A371855.
%Y A378129 Cf. A377999, A378128, A378130, A378131, A378132.
%K A378129 nonn,cons,easy
%O A378129 0,1
%A A378129 _Paolo Xausa_, Nov 17 2024