login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Expansion of 1/((1-x)(1-3x)(1-9x)(1-10x)).
4

%I #16 Nov 18 2018 17:19:57

%S 1,23,360,4810,59111,690573,7801990,86089520,933531621,9989073523,

%T 105774639620,1110701801430,11583617458531,120125571974873,

%U 1239860303429250,12746044308940540,130587414625807841

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

%H Vincenzo Librandi, <a href="/A021684/b021684.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (23,-169,417,-270)

%F a(n) = -1/144 +10^(n+3)/63+3^(n+2)/28 -3*9^(n+2)/16. - R. J. Mathar, Mar 15 2011

%t CoefficientList[Series[1 / ((1 - x) (1 - 3 x) (1 - 9 x) (1 - 10 x)), {x, 0, 20}], x] (* _Vincenzo Librandi_, Jul 11 2013 *)

%t LinearRecurrence[{23,-169,417,-270},{1,23,360,4810},30] (* _Harvey P. Dale_, Nov 18 2018 *)

%o (PARI) Vec(1/((1-x)*(1-3*x)*(1-9*x)*(1-10*x))+O(x^99)) \\ _Charles R Greathouse IV_, Sep 26 2012

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_.