%I #12 Jan 03 2024 15:51:15
%S 0,0,0,0,1,4,8,15,24,36,51,70,94,122,156,195,240,291,349,415,488,570,
%T 660,759,867,985,1114,1253,1404,1566,1740,1926,2125,2338,2564,2805,
%U 3060,3330,3615,3916,4234,4568,4920,5289,5676,6081,6505,6949,7412,7896
%N [ n(n-1)(n-2)/14 ].
%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (3, -3, 1, 0, 0, 0, 1, -3, 3, -1).
%F G.f.: x^4*(1+x-x^2+2*x^3-x^4+x^5)/((1-x)^3*(1-x^7))
%t Table[Floor[(n(n-1)(n-2))/14],{n,0,50}] (* or *) LinearRecurrence[{3,-3,1,0,0,0,1,-3,3,-1},{0,0,0,0,1,4,8,15,24,36},50] (* _Harvey P. Dale_, Jan 03 2024 *)
%o (PARI) a(n)=n*(n-1)*(n-2)\14
%Y A055610(n)=-A011896(2-n)
%K nonn
%O 0,6
%A _N. J. A. Sloane_.
%E Additional comments from _Michael Somos_, Jun 02 2000.