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%I #23 Oct 02 2018 08:52:03
%S 2,5,8,10,10,7,0,-12,-30,-55,-88,-130,-182,-245,-320,-408,-510,-627,
%T -760,-910,-1078,-1265,-1472,-1700,-1950,-2223,-2520,-2842,-3190,
%U -3565,-3968,-4400,-4862,-5355,-5880,-6438,-7030,-7657,-8320,-9020,-9758,-10535,-11352
%N a(n) = -(n - 4)*(n - 5)*(n - 12)/6.
%C Essentially the same as A111396.
%C The coefficient of x^(n-6) of the Polynomial B_n(x) defined in A135929.
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4, -6, 4, -1).
%F a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4).
%F G.f.: x^6*(2 - 3*x)/(x - 1)^4.
%F a(n) = -A111396(n-12) for n > 11. - _Bruno Berselli_, Oct 02 2018
%t LinearRecurrence[{4,-6,4,-1},{2,5,8,10},50] (* _Harvey P. Dale_, May 27 2012 *)
%Y Cf. A135929, A137276.
%K sign,easy
%O 6,1
%A _Jamel Ghanouchi_, Nov 06 2009
%E Minor edits by _N. J. A. Sloane_, Nov 09 2009
%E Definition simplified, sequence extended by _R. J. Mathar_, Nov 12 2009