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%I #20 Feb 15 2024 04:25:50
%S 1,2,3,-2,-39,-176,-442,-26,6222,36062,113240,91632,-1303985,-9362520,
%T -34625652,-50327818,293446186,2693939308,11475384425,23120716658,
%U -62820989127,-813918935104,-3964894957296,-10002153961552,10192131001136,250612187843962
%N Expansion of (1/x) * Series_Reversion( x / ((1-x)^2 * (1+x)^4) ).
%H <a href="/index/Res#revert">Index entries for reversions of series</a>
%F G.f.: exp( Sum_{k>=1} A368467(k) * x^k/k ).
%F a(n) = (1/(n+1)) * Sum_{k=0..n} (-1)^k * binomial(2*(n+1),k) * binomial(4*(n+1),n-k).
%F a(n) = (1/(n+1)) * [x^n] ( (1-x)^2 * (1+x)^4 )^(n+1).
%o (PARI) a(n) = sum(k=0, n, (-1)^k * binomial(2*(n+1), k)*binomial(4*(n+1), n-k))/(n+1);
%Y Cf. A291534, A370107.
%Y Cf. A368467.
%K sign
%O 0,2
%A _Seiichi Manyama_, Feb 10 2024
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