%I #9 Jul 08 2024 21:33:25

%S 1,4,17,72,306,1305,5577,23858,102108,437080,1871065,8009866,34289712,

%T 146792138,628407994,2690174883,11516466985,49301256865,211055514017,

%U 903515089697,3867890010850,16558188448465,70884540117396

%N Third row of A113439.

%H G. C. Greubel, <a href="/A113442/b113442.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (9,-28,38,-20,1).

%F a(n) = A113439(4*n+2).

%F a(n) = 9*a(n-1) - 28*a(n-2) + 38*a(n-3) - 20*a(n-4) + a(n-5).

%F G.f.: -(1-5*x+9*x^2-7*x^3+2*x^4)/(-1+9*x-28*x^2+38*x^3-20*x^4+x^5).

%t CoefficientList[Series[-(1 - 5*x + 9*x^2 - 7*x^3 + 2*x^4)/(-1 + 9*x - 28*x^2 + 38*x^3 - 20*x^4 + x^5), {x,0,50}], x] (* _G. C. Greubel_, Mar 11 2017 *)

%o (PARI) x='x+O('x^50); Vec(-(1-5*x+9*x^2-7*x^3+2*x^4)/(-1+9*x-28*x^2+38*x^3-20*x^4+x^5)) \\ _G. C. Greubel_, Mar 11 2017

%Y Cf. A113439.

%K nonn,easy

%O 0,2

%A _Floor van Lamoen_, Nov 04 2005