This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A011896 #19 Oct 17 2024 15:48:22
%S A011896 0,0,0,0,1,4,8,15,24,36,51,70,94,122,156,195,240,291,349,415,488,570,
%T A011896 660,759,867,985,1114,1253,1404,1566,1740,1926,2125,2338,2564,2805,
%U A011896 3060,3330,3615,3916,4234,4568,4920,5289,5676,6081,6505,6949,7412,7896
%N A011896 a(n) = floor( n*(n-1)*(n-2)/14 ).
%H A011896 G. C. Greubel, <a href="/A011896/b011896.txt">Table of n, a(n) for n = 0..2000</a>
%H A011896 <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 A011896 G.f.: x^4*(1+x-x^2+2*x^3-x^4+x^5)/((1-x)^3*(1-x^7)).
%F A011896 a(2-n) = (-1)*A055610(n).
%t A011896 Table[Floor[(n(n-1)(n-2))/14],{n,0,50}] (* or *)
%t A011896 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 A011896 (PARI) a(n)=n*(n-1)*(n-2)\14
%o A011896 (Magma) [Floor(3*Binomial(n,3)/7): n in [0..50]]; // _G. C. Greubel_, Oct 16 2024
%o A011896 (SageMath) [3*binomial(n,3)//7 for n in range(51)] # _G. C. Greubel_, Oct 16 2024
%Y A011896 Cf. A011886, A055610.
%K A011896 nonn
%O A011896 0,6
%A A011896 _N. J. A. Sloane_
%E A011896 Additional comments from _Michael Somos_, Jun 02 2000.