A016233 - OEIS

%I #18 Sep 04 2017 04:04:13

%S 1,14,143,1300,11181,93354,766363,6228560,50316761,404975494,

%T 3252010983,26077123020,208922159941,1672903158434,13390854662003,

%U 107164984268680,857510609012721,6861038546418174,54893076742927423

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

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (14,-53,40).

%F a(n) = (1/28) - (5/12)*5^n + (8/21)*8^n. - _Antonio Alberto Olivares_, Feb 06 2010

%F a(0)=1, a(1)=14, a(n) = 13*a(n-1) - 40*a(n-2) + 1. - _Vincenzo Librandi_, Feb 10 2011

%F a(0)=1, a(1)=14, a(2)=143, a(n) = 14*a(n-1) - 53*a(n-2) + 40*a(n-3). - _Harvey P. Dale_, Dec 26 2015

%t CoefficientList[Series[1/((1-x)(1-5x)(1-8x)),{x,0,30}],x] (* or *) LinearRecurrence[{14,-53,40},{1,14,143},30] (* _Harvey P. Dale_, Dec 26 2015 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_