A213494 - OEIS

%I #11 Jun 20 2022 20:30:33

%S 0,0,0,0,0,0,1,4,8,17,25,40,57,81,105,141,177,225,274,337,401,482,562,

%T 661,762,882,1002,1146,1290,1458,1627,1822,2018,2243,2467,2722,2979,

%U 3267,3555,3879,4203,4563,4924,5323,5723,6164,6604,7087,7572

%N a(n) = A213493(n)/12.

%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,0,0,-2,0,0,1,1,-1).

%F a(n) = a(n-1)+a(n-2)-2*a(n-5)+a(n-8)+a(n-9)-a(n-10).

%F G.f.: (x^6 + 3*x^7 + 3*x^8 + 5*x^9)/(1 - x - x^2 + 2*x^5 - x^8 - x^9 + x^10).

%t LinearRecurrence[{1,1,0,0,-2,0,0,1,1,-1},{0,0,0,0,0,0,1,4,8,17},60] (* _Harvey P. Dale_, Jul 03 2021 *)

%Y Cf. A213493.

%K nonn,easy

%O 0,8

%A _Clark Kimberling_, Jun 13 2012