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 A307084 #16 Apr 15 2021 23:42:59 %S A307084 1,1,5,133,31769,95375641,4353388262525,3536446917781244413, %T A307084 58773633134246903294470769,22612364832863674279489837434733681, %U A307084 224919094724957152626614652086970769074005045,63900685361274641827300282511815586348785532532913331893 %N A307084 Expansion of 1/(1 - 1^1*x/(1 - 2^2*x/(1 - 3^3*x/(1 - 4^4*x/(1 - 5^5*x/(1 - ...)))))), a continued fraction. %H A307084 Seiichi Manyama, <a href="/A307084/b307084.txt">Table of n, a(n) for n = 0..37</a> %F A307084 a(n) ~ A002109(n). - _Vaclav Kotesovec_, Apr 15 2021 %t A307084 nmax = 11; CoefficientList[Series[1/(1 + ContinuedFractionK[-k^k x, 1, {k, 1, nmax}]), {x, 0, nmax}], x] %o A307084 (PARI) a(n) = my(A=1+O(x)); for(i=1, n, A=1-(n-i+1)^(n-i+1)*x/A); polcoef(1/A, n); \\ _Seiichi Manyama_, Apr 15 2021 %Y A307084 Cf. A000312, A002109, A285380. %K A307084 nonn %O A307084 0,3 %A A307084 _Ilya Gutkovskiy_, Mar 23 2019