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 A118790 #11 Sep 01 2025 04:34:29 %S A118790 1,3,23,255,3679,65247,1371887,33347535,919848991,28382683263, %T A118790 968565339983,36217270235055,1472548026160639,64679673007670367, %U A118790 3052084360057720367,153980839859926277775,8270901171633696369631 %N A118790 Secondary diagonal of triangle A118788. %H A118790 Vaclav Kotesovec, <a href="/A118790/b118790.txt">Table of n, a(n) for n = 0..200</a> %F A118790 a(n) = (n+1)!*[x^n] ( x/(2*x + log(1-x)) )^(n+2). %F A118790 a(n) ~ n^(n+1) / (4 * exp(n) * (1 - log(2))^(n + 3/2)). - _Vaclav Kotesovec_, Sep 01 2025 %t A118790 Table[(n+1)! * SeriesCoefficient[(x/(2*x + Log[1-x]))^(n+2),{x,0,n}], {n,0,20}] (* _Vaclav Kotesovec_, Sep 01 2025 *) %o A118790 (PARI) %o A118790 {a(n)=local(x=X+X^2*O(X^(n)));(n+1)!*polcoeff((x/(2*x+log(1-x)))^(n+2),n,X)} %Y A118790 Cf. A118788, A118789. %K A118790 nonn,changed %O A118790 0,2 %A A118790 _Paul D. Hanna_, Apr 29 2006