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%I #10 Jan 02 2021 11:27:12
%S 1,1,0,0,2,2,4,27,78,222,816,2736,8784,29704,100408,334889,1128036,
%T 3819368,12912484,43771606,148863396,506943540,1729339848,5911769970,
%U 20242876176,69422168880,238465602096,820352668488,2826032713656
%N Revert transform of (1 - x - 4x^2 + x^3)/(1 - 6x^2).
%H <a href="/index/Res#revert">Index entries for reversions of series</a>
%F Recurrence: 321*(n-2)*(n-1)*n*(2516020*n^4 - 31491772*n^3 + 145480151*n^2 - 293162531*n + 216592068)*a(n) = 2*(n-2)*(n-1)*(2526084080*n^5 - 35406865208*n^4 + 192331223572*n^3 - 503123551024*n^2 + 629426089443*n - 298978255044)*a(n-1) - 4*(n-2)*(2425443280*n^6 - 40059841328*n^5 + 266246046192*n^4 - 906854261524*n^3 + 1658235723203*n^2 - 1527014192298*n + 542466060192)*a(n-2) + 16*(1202657560*n^7 - 24072998716*n^6 + 201898038166*n^5 - 918651777571*n^4 + 2446500580654*n^3 - 3809962287592*n^2 + 3210482881323*n - 1128729779352)*a(n-3) - 144*(n-4)*(402563200*n^6 - 7051499520*n^5 + 49625121772*n^4 - 179334004260*n^3 + 350519357389*n^2 - 350728662015*n + 139913523792)*a(n-4) + 10368*(n-5)*(n-4)*(2*n - 11)*(2516020*n^4 - 21427692*n^3 + 66100955*n^2 - 86613465*n + 39933936)*a(n-5). - _Vaclav Kotesovec_, Jan 02 2021
%t Rest[CoefficientList[InverseSeries[Series[x*(1 - x - 4x^2 + x^3)/(1 - 6x^2), {x, 0, 40}], x], x]] (* _Vaclav Kotesovec_, Jan 02 2021 *)
%K nonn
%O 1,5
%A _Olivier Gérard_
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