%I #7 Sep 01 2022 14:03:04

%S 1,20,190,1295,7285,36122,163730,693835,2790100,10758050,40075630,

%T 145052300,512347975,1772132390,6018885570,20118711993,66306068715,

%U 215797999830,694463680160,2212291834405,6982976069384

%N Fifth column (m=4) of triangle A060920 (bisection of Fibonacci triangle, even part).

%C Numerator polynomial of g.f. is sum(A061176(5,m)*x^m, m=0..5).

%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (15, -95, 330, -685, 873, -685, 330, -95, 15, -1).

%F a(n) = A060920(n+4,4).

%F G.f.: ((1-x^5)+5*(x-x^4)-15*(x^2-x^3))/(1-3*x+x^2)^5.

%t CoefficientList[Series[((1-x^5)+5(x-x^4)-15(x^2-x^3))/(1-3x+x^2)^5,{x,0,40}],x] (* or *) LinearRecurrence[{15,-95,330,-685,873,-685,330,-95,15,-1},{1,20,190,1295,7285,36122,163730,693835,2790100,10758050},30] (* _Harvey P. Dale_, Sep 01 2022 *)

%Y Cf. A061179.

%K nonn,easy

%O 0,2

%A _Wolfdieter Lang_, Apr 20 2001