A077857 - OEIS

%I #11 Nov 29 2024 17:35:23

%S 1,3,6,8,5,-9,-38,-76,-95,-37,174,576,1053,1183,162,-2964,-8455,

%T -14269,-14154,2872,48437,122311,190442,161700,-111663,-765909,

%U -1743554,-2497872,-1720371,2544239,11804594,24505692,32118313,16121747,-48886202,-178130776,-339618843,-403334505

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

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,-1,2).

%F a(0)=1, a(1)=3, a(2)=6, a(3)=8, a(n)=3*a(n-1)-3*a(n-2)-a(n-3)+2*a(n-4). - _Harvey P. Dale_, Mar 07 2013

%t CoefficientList[Series[(1/(1-x))/(1-2x+x^2+2x^3),{x,0,50}],x] (* or *) LinearRecurrence[{3,-3,-1,2},{1,3,6,8},50] (* _Harvey P. Dale_, Mar 07 2013 *)

%K sign,easy

%O 0,2

%A _N. J. A. Sloane_, Nov 17 2002