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 A378858 #9 Dec 09 2024 10:58:43
%S A378858 1,4,10,32,119,468,1934,8256,36135,161276,731158,3357748,15587004,
%T A378858 73021200,344786056,1639145180,7839483967,37692820908,182087119582,
%U A378858 883358016328,4301799946048,21021519618724,103049029114618,506608410994868,2497162797380145,12338908560964968
%N A378858 G.f. A(x) satisfies A(x) = ( 1 + x/(1 - x*A(x)^(3/4)) )^4.
%F A378858 G.f.: A(x) = (1 + x*B(x))^4 where B(x) is the g.f. of A364742.
%F A378858 If g.f. satisfies A(x) = ( 1 + x*A(x)^(t/r) / (1 - x*A(x)^(u/r))^s )^r, then a(n) = r * Sum_{k=0..n} binomial(t*k+u*(n-k)+r,k) * binomial(n+(s-1)*k-1,n-k)/(t*k+u*(n-k)+r).
%o A378858 (PARI) a(n, r=4, s=1, t=0, u=3) = r*sum(k=0, n, binomial(t*k+u*(n-k)+r, k)*binomial(n+(s-1)*k-1, n-k)/(t*k+u*(n-k)+r));
%Y A378858 Cf. A364742, A365119, A378730.
%Y A378858 Cf. A005554, A378801.
%K A378858 nonn
%O A378858 0,2
%A A378858 _Seiichi Manyama_, Dec 09 2024