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%I A011892 #29 Oct 10 2024 05:20:40
%S A011892 0,0,0,0,2,6,12,21,33,50,72,99,132,171,218,273,336,408,489,581,684,
%T A011892 798,924,1062,1214,1380,1560,1755,1965,2192,2436,2697,2976,3273,3590,
%U A011892 3927,4284,4662,5061,5483,5928,6396,6888,7404,7946,8514,9108,9729,10377,11054,11760
%N A011892 a(n) = floor( n*(n-1)*(n-2)/10 ).
%H A011892 Vincenzo Librandi, <a href="/A011892/b011892.txt">Table of n, a(n) for n = 0..1000</a>
%H A011892 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1,0,1,-3,3,-1).
%F A011892 From _R. J. Mathar_, Apr 15 2010: (Start)
%F A011892 a(n) = +3*a(n-1) -3*a(n-2) +a(n-3) +a(n-5) -3*a(n-6) +3*a(n-7) -a(n-8).
%F A011892 G.f.: x^4*(2+x^3)/( (1-x)^4*(1+x+x^2+x^3+x^4) ). (End)
%t A011892 CoefficientList[Series[x^4*(2+x^3)/((1-x)^3*(1-x^5)),{x,0,50}],x] (* _Vincenzo Librandi_, Jul 07 2012 *)
%t A011892 Floor[3*Binomial[Range[0,50], 3]/5] (* _G. C. Greubel_, Oct 06 2024 *)
%o A011892 (Magma) [Floor(n*(n-1)*(n-2)/10 ): n in [0..50]]; // _Vincenzo Librandi_, Jul 07 2012
%o A011892 (SageMath) Floor[3*Binomial[Range[0, 50], 3]/5] # _G. C. Greubel_, Oct 06 2024
%Y A011892 Cf. A011886.
%K A011892 nonn,easy
%O A011892 0,5
%A A011892 _N. J. A. Sloane_

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