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 A343420 #45 Sep 18 2021 03:36:54 %S A343420 1,1,1,5,9,29,173,397,1629,7105,47317,136649,612009,3239657,16725833, %T A343420 144512653,442002033,2348928709,13503344821,87284090069,570544117893, %U A343420 6090993985577,19814091021725,112414559500753,771831588041361,5354065003116817,43960328737547473 %N A343420 G.f.: 1/(1 - (1*x)/(1 - (2*x)^2/(1 - (3*x)^3/(1 - (4*x)^4/(1 - (5*x)^5/(1 - ...)))))). %H A343420 Vaclav Kotesovec, <a href="/A343420/b343420.txt">Table of n, a(n) for n = 0..730</a> %t A343420 nmax = 26; %t A343420 CoefficientList[1/(1 + ContinuedFractionK[-(k x)^k, 1, {k, 1, nmax}]) + O[x]^(nmax+1), x] (* _Jean-François Alcover_, Apr 18 2021 *) %o A343420 (PARI) a(n) = my(A=1+O(x)); for(i=1, n, A=1-((n-i+1)*x)^(n-i+1)/A); polcoef(1/A, n); %Y A343420 Cf. A285381, A307084, A343473. %K A343420 nonn %O A343420 0,4 %A A343420 _Seiichi Manyama_, Apr 16 2021