%I #5 Jun 16 2016 23:21:27
%S 720,3360,10752,27648,61440,122880,226800,392832,646128,1018080,
%T 1547040,2279040,3268512,4579008,6283920,8467200,11224080,14661792,
%U 18900288,24072960,30327360,37825920,46746672,57283968,69649200
%N The sixth row of the ED2 array A167560.
%H G. C. Greubel, <a href="/A167563/b167563.txt">Table of n, a(n) for n = 1..1000</a>
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6, -15, 20, -15, 6, -1).
%F a(n) = 6*n^5 + 20*n^4 + 202*n^3 + 124*n^2 + 368*n.
%F G.f.: (432*z^4 - 864*z^3 + 1392*z^2 - 960*z + 720)/(1-z)^6.
%F a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6). - _G. C. Greubel_, Jun 16 2016
%t Table[6*n^5 + 20*n^4 + 202*n^3 + 124*n^2 + 368*n, {n,1,100}] (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1},{720, 3360, 10752, 27648, 61440, 122880},100] (* _G. C. Greubel_, Jun 16 2016 *)
%Y Cf. A167560.
%K easy,nonn
%O 1,1
%A _Johannes W. Meijer_, Nov 10 2009
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