login
Expansion of 1/((1-2x)(1-5x)(1-7x)(1-9x)).
0

%I #9 Jul 30 2015 22:33:53

%S 1,23,344,4258,47487,496725,4981918,48547136,463544213,4361492707,

%T 40596873252,374857310334,3440520848779,31434357529169,

%U 286207079508746,2598999610410652,23553202070626785,213115529239825311

%N Expansion of 1/((1-2x)(1-5x)(1-7x)(1-9x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (23, -185, 601, -630).

%F a(n) = -8*2^n/105 +125*5^n/24 -343*7^n/20 +729*9^n/56. _R. J. Mathar_, Jun 20 2013

%F a(0)=1, a(1)=23, a(2)=344, a(3)=4258, a(n)=23*a(n-1)-185*a(n-2)+ 601*a(n-3)- 630*a(n-4). - _Harvey P. Dale_, Jul 04 2013

%t CoefficientList[Series[1/((1-2x)(1-5x)(1-7x)(1-9x)),{x,0,30}],x] (* or *) LinearRecurrence[{23,-185,601,-630},{1,23,344,4258},30] (* _Harvey P. Dale_, Jul 04 2013 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_.