A011910 Floor( n(n-1)(n-2)/28 ).

0, 0, 0, 0, 0, 2, 4, 7, 12, 18, 25, 35, 47, 61, 78, 97, 120, 145, 174, 207, 244, 285, 330, 379, 433, 492, 557, 626, 702, 783, 870, 963, 1062, 1169, 1282, 1402, 1530, 1665, 1807, 1958, 2117, 2284, 2460, 2644, 2838

Offset

0,6

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, 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).

Formula

a(n) = floor(A007531(n)/28). - Wesley Ivan Hurt, Feb 25 2014

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

Maple

A011910:=n->floor(n*(n-1)*(n-2)/28); seq(A011910(n), n=0..50); # Wesley Ivan Hurt, Feb 25 2014

Mathematica

Table[Floor[(n(n-1)(n-2))/28], {n, 0, 50}] (* Harvey P. Dale, Sep 13 2011 *)

Prog

(Magma) [Floor((n*(n-1)*(n-2))/28): n in [0..50]]; // Vincenzo Librandi, Feb 27 2014

Crossrefs

Sequence in context: A332744 A345731 A084672 * A227590 A267529 A005521

Adjacent sequences: A011907 A011908 A011909 * A011911 A011912 A011913

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved