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 A129063 #17 Oct 22 2019 16:27:11 %S A129063 1,6,36,250,2040,19334,209580,2562354,34915680,524986462,8636859924, %T A129063 154357103498,2978418173640,61718786864310,1367098836863868, %U A129063 32236969655283682,806313056758966320,21322699350055313678,594440128269066768612,17424632249851351374906 %N A129063 Third column (m=2) of triangle A129062 and second column of triangle A079641. %H A129063 Seiichi Manyama, <a href="/A129063/b129063.txt">Table of n, a(n) for n = 0..422</a> %F A129063 a(n) = A129062(n+2,2), n>=0. %F A129063 a(n) = A079641(n+1,1), n>=0. %F A129063 E.g.f.: (d^2/dx^2)((-log(2-exp(x)))^2)/2. %F A129063 E.g.f.: d/dx (f(x) * Integral f(x) dx), where f(x) = exp(x)/(2-exp(x)), cf. A000629. - _Seiichi Manyama_, Oct 22 2019 %F A129063 a(n) ~ n! * n * log(n) / (log(2))^(n+2) * (1 + (gamma - log(2) - log(log(2))) / log(n)), where gamma is the Euler-Mascheroni constant A001620. - _Vaclav Kotesovec_, Oct 22 2019 %o A129063 (PARI) N=20; x='x+O('x^N); f=exp(x)/(2-exp(x)); Vec(serlaplace(deriv(f*intformal(f)))) \\ _Seiichi Manyama_, Oct 22 2019 %Y A129063 A000629 gives second, resp. first column of A129062, resp. A079641. %Y A129063 Cf. A180875. %K A129063 nonn,easy %O A129063 0,2 %A A129063 _Wolfdieter Lang_, May 04 2007