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 A361841 #19 Mar 30 2023 09:14:59
%S A361841 1,3,24,201,1809,16893,161676,1574289,15527052,154662930,1552725504,
%T A361841 15688410264,159355067283,1625899880673,16652520666414,
%U A361841 171119405299005,1763475423260049,18219685282559559,188664151412242368,1957539823296458841,20347733657193596127
%N A361841 Expansion of 1/(1 - 9*x*(1+x)^2)^(1/3).
%H A361841 Winston de Greef, <a href="/A361841/b361841.txt">Table of n, a(n) for n = 0..966</a>
%F A361841 n*a(n) = 3 * ( (3*n-2)*a(n-1) + 2*(3*n-4)*a(n-2) + (3*n-6)*a(n-3) ) for n > 2.
%F A361841 a(n) = Sum_{k=0..n} (-9)^k * binomial(-1/3,k) * binomial(2*k,n-k).
%F A361841 a(n) = (-9)^n*binomial(-1/3, n)*hypergeom([1/3 - n*2/3, 2/3 - n*2/3, -n*2/3], [1/2 - n, 2/3 - n], -3/4). - _Peter Luschny_, Mar 27 2023
%p A361841 A361841 := n -> (-9)^n*binomial(-1/3, n)*hypergeom([1/3 - n*2/3, 2/3 - n*2/3, -n*2/3], [1/2 - n, 2/3 - n], -3/4):
%p A361841 seq(simplify(A361841(n)), n = 0..20); # _Peter Luschny_, Mar 27 2023
%o A361841 (PARI) my(N=30, x='x+O('x^N)); Vec(1/(1-9*x*(1+x)^2)^(1/3))
%Y A361841 Column k=2 of A361839.
%Y A361841 Cf. A002478, A137635, A361844.
%K A361841 nonn
%O A361841 0,2
%A A361841 _Seiichi Manyama_, Mar 26 2023