The OEIS is supported by the many generous donors to the OEIS Foundation.
Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%I #9 Jun 15 2016 13:10:57
%S -2,-5,-7,-6,0,13,35,68,114,175,253,350,468,609,775,968,1190,1443,
%T 1729,2050,2408,2805,3243,3724,4250,4823,5445,6118,6844,7625,8463,
%U 9360,10318,11339,12425,13578,14800,16093,17459,18900,20418
%N The second left hand column of triangle A167552.
%H G. C. Greubel, <a href="/A167554/b167554.txt">Table of n, a(n) for n = 2..1000</a>
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F a(n) = (2*n^3 - 15*n^2 + 19*n - 6)/3!.
%F G.f.: (z^2 + 3*z - 2)/(z-1)^4.
%F a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4).
%F a(n) - 3*a(n-1) + 3*a(n-2) - a(n-3) = 2*1.
%t Table[(1/6)*(2*n^3 - 15*n^2 + 19*n - 6), {n,2,100}] (* or *) LinearRecurrence[{4,-6,4,-1}, {-2, -5, -7, -6}, 100] (* _G. C. Greubel_, Jun 15 2016 *)
%Y Equals the second left hand column of A167552.
%Y Other left hand columns are A005408, A167555, A168302 and A168303.
%K easy,sign
%O 2,1
%A _Johannes W. Meijer_, Nov 10 2009