cp's OEIS Frontend

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.

A377203 Decimal expansion of Integral_{x=0..oo} exp(-x)*erf(sqrt(x))^3 dx, where erf is the error function.

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%I A377203 #11 Oct 20 2024 17:16:41
%S A377203 4,5,8,9,4,1,0,7,1,6,2,0,9,2,6,6,1,1,8,3,3,2,9,6,5,8,2,7,0,0,8,3,8,9,
%T A377203 6,1,0,8,5,6,5,9,0,7,4,8,7,7,2,5,2,7,0,2,0,4,3,6,0,0,0,1,0,7,7,1,1,6,
%U A377203 6,1,7,6,3,7,1,7,5,8,0,1,9,8,8,4,1,3,4,9,3,4
%N A377203 Decimal expansion of Integral_{x=0..oo} exp(-x)*erf(sqrt(x))^3 dx, where erf is the error function.
%H A377203 Paolo Xausa, <a href="/A377203/b377203.txt">Table of n, a(n) for n = 0..10000</a>
%H A377203 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Erf.html">Erf</a>.
%H A377203 Wikipedia, <a href="https://en.wikipedia.org/wiki/Error_function">Error function</a>.
%F A377203 Equals 3*sqrt(2)*arccot(2*sqrt(2))/Pi = A010474*A188615/A000796 (cf. eq. 38 in Weisstein link).
%e A377203 0.458941071620926611833296582700838961085659074877...
%t A377203 First[RealDigits[Sqrt[18]*ArcCsc[3]/Pi, 10, 100]]
%Y A377203 Cf. A000796, A010474, A188615, A377202.
%K A377203 nonn,cons
%O A377203 0,1
%A A377203 _Paolo Xausa_, Oct 19 2024