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%I #5 Jun 17 2016 00:09:35
%S 3,98,1080,7568,40976,187488,761600,2830848,9821952,32254464,
%T 101263360,306229248,897175552,2558058496,7123894272,19434569728,
%U 52063567872,137236709376,356550967296,914355126272,2317328842752
%N The third left hand column of triangle A167580.
%H G. C. Greubel, <a href="/A167582/b167582.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*(14*n^5 - 95*n^4 + 240*n^3 - 280*n^2 + 151*n - 30)/240.
%F GF(z) = (8*z^3 + 84*z^2 + 62*z + 3)/(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-1).
%t LinearRecurrence[{12, -60, 160, -240, 192, -64}, {3, 98, 1080, 7568, 40976, 187488}, 100] (* _G. C. Greubel_, Jun 16 2016 *)
%Y Equals the third left hand column of triangle A167580.
%Y Other left hand columns are A014480, A167581, A168305 and A168306.
%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
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