%I #10 Jan 02 2021 11:19:59
%S 1,1,2,4,10,24,65,171,482,1338,3868,11110,32707,96137,287001,857577,
%T 2588794,7830730,23854028,72840384,223557060,687811608,2124300494,
%U 6576110024,20418808851,63534855143,198178318008,619338524116
%N Revert transform of (1 + 2x - x^2)/(1 + 3x + 2x^2 + x^3).
%H <a href="/index/Res#revert">Index entries for reversions of series</a>
%F Recurrence: 8*(n-1)*n*(79*n - 186)*a(n) = - 2*(n-1)*(474*n^2 - 1669*n + 1510)*a(n-1) + (5293*n^3 - 33792*n^2 + 74125*n - 56126)*a(n-2) + (12719*n^3 - 97096*n^2 + 242641*n - 190562)*a(n-3) + (n-4)*(8927*n^2 - 44244*n + 45159)*a(n-4) + 23*(n-5)*(n-4)*(79*n - 107)*a(n-5). - _Vaclav Kotesovec_, Jan 02 2021
%t Rest[CoefficientList[InverseSeries[Series[x*(1 + 2x - x^2)/(1 + 3x + 2x^2 + x^3), {x, 0, 40}], x], x]] (* _Vaclav Kotesovec_, Jan 02 2021 *)
%K nonn
%O 1,3
%A _Olivier GĂ©rard_