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A011899 a(n) = floor(n*(n-1)*(n-2)/17). 1

%I #21 Jun 13 2023 10:19:55

%S 0,0,0,0,1,3,7,12,19,29,42,58,77,100,128,160,197,240,288,342,402,469,

%T 543,625,714,811,917,1032,1156,1289,1432,1586,1750,1925,2112,2310,

%U 2520,2742,2977,3225,3487,3762,4051

%N a(n) = floor(n*(n-1)*(n-2)/17).

%H <a href="/index/Rec#order_20">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, 1, -3, 3, -1).

%F G.f.: (x^4*(1+x^2-x^3+x^4+x^5+x^9+x^10-x^11+x^12+x^13-x^14+x^15))/(1+x*(-3+x*(3+x*(-1+(-1+x)^3*x^14)))). - _Peter J. C. Moses_, Jun 02 2014

%p A011899:=n->floor(n*(n-1)*(n-2)/17): seq(A011899(n), n=0..100); # _Wesley Ivan Hurt_, Jan 22 2017

%o (PARI) a(n) = n*(n-1)*(n-2)\17; \\ _Michel Marcus_, Jan 23 2017

%o (Magma) [Floor(n*(n-1)*(n-2)/17) : n in [0..60]]; // _Wesley Ivan Hurt_, Apr 23 2021

%Y Cf. A007531.

%K nonn,easy

%O 0,6

%A _N. J. A. Sloane_

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)