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 A090354 #9 May 28 2025 10:28:35 %S A090354 1,1,3,19,190,2574,43922,903986,21784659,601478195,18715354049, %T A090354 647834803569,24688869993252,1027073272425876,46309250293477020, %U A090354 2249435671825385244,117101538463333719891,6503918951175618656403 %N A090354 Self-convolution equals the binomial transform of A090353: A^2 = BINOMIAL(A090353). %C A090354 See comments in A090353. %H A090354 Vaclav Kotesovec, <a href="/A090354/b090354.txt">Table of n, a(n) for n = 0..370</a> %F A090354 a(n) ~ (n-1)! / (18 * log(4/3)^(n+1)). - _Vaclav Kotesovec_, May 28 2025 %o A090354 (PARI) {a(n)=local(A); if(n<1,0,A=1+x+x*O(x^n); for(k=1,n,B=subst(A^3,x, x/(1-x))/(1-x)+x*O(x^n); A=A-A^4+B);B=subst(A,x, x/(1-x))/(1-x)+x*O(x^n); polcoeff(B^(1/2),n,x))} %Y A090354 Cf. A090353, A090355. %K A090354 nonn %O A090354 0,3 %A A090354 _Paul D. Hanna_, Nov 26 2003