A025958 - OEIS

%I #11 Oct 10 2015 09:33:46

%S 1,17,185,1645,13041,96117,674185,4565165,30122081,194911717,

%T 1242462585,7828123485,48869031121,302849847317,1865814241385,

%U 11440608686605,69880858180161,425505538990917,2584272622186585

%N Expansion of 1/((1-2x)(1-4x)(1-5x)(1-6x)).

%H Harvey P. Dale, <a href="/A025958/b025958.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (17,-104,268,-240).

%F a(n) = -2^n/3 +16*4^n/1 -125*5^n/3 +27*6^n/1. - _R. J. Mathar_, Jun 20 2013

%F a(0)=1, a(1)=17, a(2)=185, a(3)=1645, a(n)=17*a(n-1)-104*a(n-2)+ 268*a(n-3)- 240*a(n-4). - _Harvey P. Dale_, Oct 10 2015

%t CoefficientList[Series[1/((1-2x)(1-4x)(1-5x)(1-6x)),{x,0,30}],x] (* or *) LinearRecurrence[{17,-104,268,-240},{1,17,185,1645},30] (* _Harvey P. Dale_, Oct 10 2015 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_.