A049123 - OEIS

%I #12 Jul 23 2023 13:44:09

%S 1,1,2,6,22,89,380,1679,7602,35072,164266,779022,3733444,18053457,

%T 87977300,431628390,2130222854,10568712275,52681070700,263702193164,

%U 1325015897814,6680716274936,33789860569680,171393770952775

%N Revert transform of x*(1 - 3*x + x^2)/(1 - 2*x - x^2).

%H <a href="/index/Res#revert">Index entries for reversions of series</a>

%F Recurrence: 5*(n-1)*n*(37*n^2 - 51*n - 286)*a(n) = 24*(n-1)*(74*n^3 - 213*n^2 - 504*n + 1103)*a(n-1) - 8*(629*n^4 - 3383*n^3 - 998*n^2 + 26492*n - 31632)*a(n-2) + 2*(n-4)*(2294*n^3 - 6603*n^2 - 23288*n + 63885)*a(n-3) - 8*(n-5)*(n-4)*(37*n^2 + 23*n - 300)*a(n-4). - _Vaclav Kotesovec_, Jan 02 2021

%t Rest[CoefficientList[InverseSeries[Series[x*(1 - 3x + x^2)/(1 - 2x - x^2), {x, 0, 40}], x], x]] (* _Vaclav Kotesovec_, Jan 02 2021 *)

%K nonn

%O 1,3

%A _Olivier Gérard_

%E NAME multiplied by x. - _R. J. Mathar_, Jul 23 2023