login
Expansion of 1/((1-5x)(1-7x)(1-8x)(1-11x)).
0

%I #14 Jul 08 2025 18:28:44

%S 1,31,610,9750,138411,1822821,22826140,275975500,3254034421,

%T 37677164811,430475351670,4870239751650,54700558488031,

%U 611065572906001,6798955260233200,75422919700042200,834843345187547241

%N Expansion of 1/((1-5x)(1-7x)(1-8x)(1-11x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (31, -351, 1721, -3080).

%F a(n)=(11^(n+3)-8^(n+4)+9*7^(n+3)-2*5^(n+3))/72. [_Yahia Kahloune_, Jun 04 2013]

%t CoefficientList[Series[1/((1-5x)(1-7x)(1-8x)(1-11x)), {x,0,30}], x] (* _Harvey P. Dale_, Apr 03 2011 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_