%I #5 Jun 18 2016 00:43:10
%S 9,120,952,5664,27888,120064,467712,1686528,5719296,18450432,57108480,
%T 170713088,495366144,1401028608,3874881536,10508304384,28005433344,
%U 73485778944,190154539008,485895438336,1227495571456
%N The third left hand column of triangle A167591.
%H G. C. Greubel, <a href="/A167593/b167593.txt">Table of n, a(n) for n = 3..1000</a>
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (12,-60,160,-240,192,-64).
%F a(n) = 2^n*(7*n^5 - 40*n^4 + 110*n^3 - 155*n^2 + 78*n)/240.
%F GF(z) = (52*z^2 + 12*z + 9)/(1-2*z)^6.
%F a(n) = 12*a(n-1) - 60*a(n-2) + 160*a(n-3) - 240*a(n-4) + 192*a(n-5) - 64*a(n-6).
%F a(n) - 11*a(n-1) + 50*a(n-2) - 120*a(n-3) + 160*a(n-4) - 112*a(n-5) + 32*a(n-6) = 7*2^(n-2).
%t LinearRecurrence[{12,-60,160,-240,192,-64},{9, 120, 952, 5664, 27888, 120064},100] (* _G. C. Greubel_, Jun 17 2016 *)
%Y Equals the third left hand column of A167591.
%Y Other left hand columns are A001787, A167592, A168307 and A168308.
%K easy,nonn
%O 3,1
%A _Johannes W. Meijer_, Nov 10 2009
%E Formulae and links added by _Johannes W. Meijer_, Nov 23 2009