%I #10 Jan 02 2021 11:19:35
%S 1,1,2,6,20,72,271,1055,4212,17152,70966,297482,1260715,5392627,
%T 23251149,100947165,440939300,1936388032,8544353718,37863744762,
%U 168438633954,751927422662,3367361700052,15123922285632,68107641527359
%N Revert transform of (3x^2 - 1)/(-1 - x + 2x^2 + x^3).
%H <a href="/index/Res#revert">Index entries for reversions of series</a>
%F Recurrence: 36*(n-1)*n*(7372*n^2 - 45117*n + 67172)*a(n) = 12*(n-1)*(81092*n^3 - 606867*n^2 + 1412200*n - 999768)*a(n-1) + (1540748*n^4 - 16034765*n^3 + 61923424*n^2 - 104990155*n + 65807196)*a(n-2) - (302252*n^4 - 2594369*n^3 + 7923316*n^2 - 10164511*n + 4599084)*a(n-3) - 7*(n-4)*(169556*n^3 - 1524243*n^2 + 4084408*n - 3312093)*a(n-4) + 49*(n-5)*(n-4)*(7372*n^2 - 30373*n + 29427)*a(n-5). - _Vaclav Kotesovec_, Jan 02 2021
%t Rest[CoefficientList[InverseSeries[Series[x*(3x^2 - 1)/(-1 - x + 2x^2 + x^3), {x, 0, 40}], x], x]] (* _Vaclav Kotesovec_, Jan 02 2021 *)
%K nonn
%O 1,3
%A _Olivier GĂ©rard_