%I #15 Jul 23 2023 13:44:19
%S 1,1,0,0,1,-1,-1,5,-5,-9,34,-26,-85,255,-120,-820,1995,-245,-7960,
%T 15800,4755,-77175,123815,105445,-743699,936529,1536534,-7094790,
%U 6576505,19436599,-66736489,39201501,228580275,-616062205,134736984,2566177896,-5546263549,-1161261075
%N Revert transform of x*(1 + 2*x)/(1 + 3*x + x^2).
%H <a href="/index/Res#revert">Index entries for reversions of series</a>
%F Recurrence: 2*n*a(n) = -3*(n-2)*a(n-1) - (8*n - 27)*a(n-2) + 5*(n-3)*a(n-3). - _Vaclav Kotesovec_, Jan 02 2021
%F G.f.: (1 - 3*x - sqrt(1 + 2*x + 5*x^2)) / (2*(x-2)). - _Vaclav Kotesovec_, Jan 04 2021
%t Rest[CoefficientList[InverseSeries[Series[x*(1 + 2x)/(1 + 3x + x^2), {x, 0, 40}], x], x]] (* _Vaclav Kotesovec_, Jan 02 2021 *)
%K sign
%O 1,8
%A _Olivier GĂ©rard_
%E NAME multiplied by x. - _R. J. Mathar_, Jul 23 2023