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A011899 a(n) = floor(n*(n-1)*(n-2)/17).

%I A011899 #26 Oct 17 2024 08:25:53
%S A011899 0,0,0,0,1,3,7,12,19,29,42,58,77,100,128,160,197,240,288,342,402,469,
%T A011899 543,625,714,811,917,1032,1156,1289,1432,1586,1750,1925,2112,2310,
%U A011899 2520,2742,2977,3225,3487,3762,4051
%N A011899 a(n) = floor(n*(n-1)*(n-2)/17).
%H A011899 G. C. Greubel, <a href="/A011899/b011899.txt">Table of n, a(n) for n = 0..2000</a>
%H A011899 <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-3,3,-1).
%F A011899 G.f.: (x^4*(1+x^2-x^3+x^4+x^5+x^9+x^10-x^11+x^12+x^13-x^14+x^15))/(1+x*(-3+x*(3+x*(-1+(-1+x)^3*x^14)))). - _Peter J. C. Moses_, Jun 02 2014
%p A011899 A011899:=n->floor(n*(n-1)*(n-2)/17): seq(A011899(n), n=0..100); # _Wesley Ivan Hurt_, Jan 22 2017
%t A011899 Floor[6*Binomial[Range[0, 50], 3]/17] (* _G. C. Greubel_, Oct 16 2024 *)
%o A011899 (PARI) a(n) = n*(n-1)*(n-2)\17; \\ _Michel Marcus_, Jan 23 2017
%o A011899 (Magma) [Floor(n*(n-1)*(n-2)/17) : n in [0..60]]; // _Wesley Ivan Hurt_, Apr 23 2021
%o A011899 (SageMath) [6*binomial(n,3)//17 for n in range(51)] # _G. C. Greubel_, Oct 16 2024
%Y A011899 Cf. A007531, A011886.
%K A011899 nonn,easy
%O A011899 0,6
%A A011899 _N. J. A. Sloane_