A025952 - OEIS

%I #11 Dec 31 2021 13:40:56

%S 1,24,385,5220,64741,760944,8633305,95554140,1038550381,11132642664,

%T 118050851425,1241028864660,12954973386421,134451901289184,

%U 1388638534032745,14283461073576780,146408292464020861

%N Expansion of 1/((1-2x)(1-3x)(1-9x)(1-10x)).

%H Harvey P. Dale, <a href="/A025952/b025952.txt">Table of n, a(n) for n = 0..998</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (24,-191,564,-540).

%F a(n) = -2^n/7 +9*3^n/14 -243*9^n/14 +125*10^n/7. - _R. J. Mathar_, Jun 20 2013

%t CoefficientList[Series[1/((1-2x)(1-3x)(1-9x)(1-10x)),{x,0,20}],x] (* or *) LinearRecurrence[{24,-191,564,-540},{1,24,385,5220},20] (* _Harvey P. Dale_, Dec 31 2021 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_.