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Expansion of 1/((1-3x)(1-5x)(1-7x)(1-8x)).
0

%I #9 Jun 13 2015 00:49:08

%S 1,23,338,4054,43323,430269,4065916,37085708,329561045,2871469315,

%T 24640946694,208933723362,1754722389967,14623596707561,

%U 121104748389872,997726082646616,8184406735022889,66895347552055407

%N Expansion of 1/((1-3x)(1-5x)(1-7x)(1-8x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (23, -191, 673, -840).

%F a(n)=(8^(n+4)-15*7^(n+3)+2*5^(n+4)-3^(n+4))/120. [_Yahia Kahloune_, Jun 08 2013]

%t CoefficientList[Series[1/((1-3x)(1-5x)(1-7x)(1-8x)),{x,0,30}],x] (* or *) LinearRecurrence[{23,-191,673,-840},{1,23,338,4054},30] (* _Harvey P. Dale_, Dec 17 2014 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_.