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%I #17 Nov 23 2018 17:31:59
%S 0,0,0,0,2,5,10,19,30,45,65,90,120,156,198,248,305,370,445,528,621,
%T 725,840,966,1104,1254,1418,1595,1786,1993,2214,2451,2705,2976,3264,
%U 3570,3894,4238,4601,4984,5389
%N [ n(n-1)(n-2)/11 ].
%H <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (3, -3, 1, 0, 0, 0, 0, 0, 0, 0, 1, -3, 3, -1).
%F a(n) = +3*a(n-1) -3*a(n-2) +a(n-3) +a(n-11) -3*a(n-12) +3*a(n-13) -a(n-14). [_R. J. Mathar_, Apr 15 2010]
%F G.f.: (x^4 (2-x+x^2+2 x^3-2 x^4+2 x^5+x^6+x^9))/((-1+x)^4 (1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10)). - _Peter J. C. Moses_, Jun 02 2014
%t Table[Floor[n(n-1)(n-2)/11],{n,0,40}] (* or *) LinearRecurrence[{3,-3,1,0,0,0,0,0,0,0,1,-3,3,-1},{0,0,0,0,2,5,10,19,30,45,65,90,120,156},50] (* _Harvey P. Dale_, Nov 23 2018 *)
%K nonn,easy
%O 0,5
%A _N. J. A. Sloane_.
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