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%I #22 Aug 01 2015 09:11:20
%S 0,0,9,64,259,784,1974,4368,8778,16368,28743,48048,77077,119392,
%T 179452,262752,375972,527136,725781,983136,1312311,1728496,2249170,
%U 2894320,3686670,4651920,5818995,7220304,8892009,10874304,13211704,15953344,19153288,22870848,27170913,32124288,37808043,44305872,51708462,60113872
%N Second column of triangle in A182971.
%C These are scaled central factorial numbers (see A182971).
%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7, -21, 35, -35, 21, -7, 1).
%F G.f.: x^3*(9+x)/(1-x)^7.
%F a(1)=0, a(2)=0, a(3)=0, a(4)=9, a(5)=64, a(6)=259, a(7)=784, a(n) = 7*a(n-1) -21*a(n-2)+35*a(n-3)-35*a(n-4)+21*a(n-5)-7*a(n-6)+a(n-7). - _Harvey P. Dale_, Jul 03 2013
%t CoefficientList[Series[x^3(9+x)/(1-x)^7,{x,0,40}],x] (* or *) LinearRecurrence[ {7,-21,35,-35,21,-7,1},{0,0,0,9,64,259,784},50] (* _Harvey P. Dale_, Jul 03 2013 *)
%Y Cf. A182971. Bisections give A001823 and A181889.
%K nonn
%O 1,3
%A _N. J. A. Sloane_, Feb 01 2011
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