login
a(n) = 3*(n-2)*(n-3)*(3*n^2-3*n-8)/2.
1

%I #20 Sep 08 2022 08:45:04

%S 0,0,84,468,1476,3540,7200,13104,22008,34776,52380,75900,106524,

%T 145548,194376,254520,327600,415344,519588,642276,785460,951300,

%U 1142064,1360128,1607976,1888200,2203500,2556684,2950668,3388476

%N a(n) = 3*(n-2)*(n-3)*(3*n^2-3*n-8)/2.

%D L. Berzolari, Allgemeine Theorie der Höheren Ebenen Algebraischen Kurven, Encyclopädie der Mathematischen Wissenschaften mit Einschluss ihrer Anwendungen. Band III_2. Heft 3, Leipzig: B. G. Teubner, 1906. p. 341.

%H Vincenzo Librandi, <a href="/A064198/b064198.txt">Table of n, a(n) for n = 2..1000</a>

%F G.f.: 12*x^4*(7+4*x-2*x^2)/(1-x)^5. - _Colin Barker_, Feb 28 2012

%t Table[3*(n-2)*(n-3)*(3*n^2-3*n-8)/2,{n,2,40}] (* _Vincenzo Librandi_, Feb 29 2012 *)

%o (Magma) [3*(n-2)*(n-3)*(3*n^2-3*n-8)/2: n in [2..30]]; // _Vincenzo Librandi_, Feb 29 2012

%K nonn,easy

%O 2,3

%A Antreas P. Hatzipolakis (xpolakis(AT)otenet.gr), Sep 22 2001