cp's OEIS Frontend

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.

A011910 a(n) = floor( n*(n-1)*(n-2)/28 ).

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%I A011910 #28 Oct 19 2024 21:27:48
%S A011910 0,0,0,0,0,2,4,7,12,18,25,35,47,61,78,97,120,145,174,207,244,285,330,
%T A011910 379,433,492,557,626,702,783,870,963,1062,1169,1282,1402,1530,1665,
%U A011910 1807,1958,2117,2284,2460,2644,2838,3040,3252,3474,3706,3948,4200,4462,4735,5019,5315,5621,5940,6270,6612,6966,7332,7712,8104,8509,8928,9360,9805,10265,10739,11227
%N A011910 a(n) = floor( n*(n-1)*(n-2)/28 ).
%H A011910 Vincenzo Librandi, <a href="/A011910/b011910.txt">Table of n, a(n) for n = 0..1000</a>
%H A011910 <a href="/index/Rec#order_31">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-3,3,-1).
%F A011910 a(n) = floor(A007531(n)/28). - _Wesley Ivan Hurt_, Feb 25 2014
%F A011910 G.f.: x^5*(2-2*x+x^2+x^3-x^4+2*x^6-x^7+x^9-x^10+2*x^11-2*x^12+2*x^13+x^19+ x^21-2*x^22+3*x^23-2*x^24+x^25)/((1-x)^4*(1+x)*(1+x^2)*(1-x+x^2-x^3+x^4-x^5+x^6)*(1+x+x^2+x^3+x^4+x^5+x^6)*(1-x^2+x^4-x^6+x^8-x^10+x^12)). - _Peter J. C. Moses_, Jun 02 2014
%p A011910 A011910:=n->floor(n*(n-1)*(n-2)/28); seq(A011910(n), n=0..80); # _Wesley Ivan Hurt_, Feb 25 2014
%t A011910 Table[Floor[(n(n-1)(n-2))/28],{n,0,80}] (* _Harvey P. Dale_, Sep 13 2011 *)
%o A011910 (Magma) [Floor((n*(n-1)*(n-2))/28): n in [0..80]]; // _Vincenzo Librandi_, Feb 27 2014
%o A011910 (SageMath) [3*binomial(n,3)//14 for n in range(81)] # _G. C. Greubel_, Oct 19 2024
%Y A011910 Cf. A011886.
%K A011910 nonn,easy
%O A011910 0,6
%A A011910 _N. J. A. Sloane_