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Expansion of 1/((1-2x)(1-5x)(1-8x)(1-10x)).
0

%I #9 Jul 30 2015 22:34:21

%S 1,25,409,5565,68481,792645,8815129,95390845,1012475761,10596550965,

%T 109756131849,1127967674925,11523334499041,117184641488485,

%U 1187466959384569,11999684812451805,120997224186474321

%N Expansion of 1/((1-2x)(1-5x)(1-8x)(1-10x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (25, -216, 740, -800).

%F a(n) = -2^n/18 +25*5^n/9 -128*8^n/9 +25*10^n/2. _R. J. Mathar_, Jun 20 2013

%F a(0)=1, a(1)=25, a(2)=409, a(3)=5565, a(n)=25*a(n-1)-216*a(n-2)+740*a(n-3)-800*a(n-4). - _Harvey P. Dale_, Aug 25 2014

%t CoefficientList[Series[1/((1-2x)(1-5x)(1-8x)(1-10x)),{x,0,20}],x] (* or *) LinearRecurrence[{25,-216,740,-800},{1,25,409,5565},20] (* _Harvey P. Dale_, Aug 25 2014 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_.