%I #25 Jun 13 2023 08:51:12
%S 0,0,0,0,0,2,4,7,12,18,25,35,47,61,78,97,120,145,174,207,244,285,330,
%T 379,433,492,557,626,702,783,870,963,1062,1169,1282,1402,1530,1665,
%U 1807,1958,2117,2284,2460,2644,2838
%N Floor( n(n-1)(n-2)/28 ).
%H Vincenzo Librandi, <a href="/A011910/b011910.txt">Table of n, a(n) for n = 0..1000</a>
%H <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 a(n) = floor(A007531(n)/28). - _Wesley Ivan Hurt_, Feb 25 2014
%F 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:=n->floor(n*(n-1)*(n-2)/28); seq(A011910(n), n=0..50); # _Wesley Ivan Hurt_, Feb 25 2014
%t Table[Floor[(n(n-1)(n-2))/28],{n,0,50}] (* _Harvey P. Dale_, Sep 13 2011 *)
%o (Magma) [Floor((n*(n-1)*(n-2))/28): n in [0..50]]; // _Vincenzo Librandi_, Feb 27 2014
%K nonn,easy
%O 0,6
%A _N. J. A. Sloane_.
|