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A028045 Expansion of 1/((1-3x)(1-4x)(1-8x)(1-11x)). 1

%I #16 Jun 13 2015 00:49:08

%S 1,26,443,6304,81573,998502,11807311,136529708,1555263545,17536382578,

%T 196332094179,2187124368312,24278204224717,268819199510654,

%U 2971083878320247,32794508383067716,361640295036833889,3985248936321941130,43895384100591144715

%N Expansion of 1/((1-3x)(1-4x)(1-8x)(1-11x)).

%H Harvey P. Dale, <a href="/A028045/b028045.txt">Table of n, a(n) for n = 0..900</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (26, -233, 844, -1056).

%F a(0)=1, a(1)=26, a(2)=443, a(3)=6304, a(n)=26*a(n-1)-233*a(n-2)+ 844*a(n-3)- 1056*a(n-4). - _Harvey P. Dale_, Jun 11 2012

%F a(n) = (5*11^(n+3)-14*8^(n+3)+30*4^(n+3)-21*3^(n+3))/840. - _Yahia Kahloune_, Jun 07 2013

%t CoefficientList[Series[1/((1-3x)(1-4x)(1-8x)(1-11x)),{x,0,30}],x] (* or *) LinearRecurrence[{26,-233,844,-1056},{1,26,443,6304},30] (* _Harvey P. Dale_, Jun 11 2012 *)

%o (PARI) Vec(1/((1-3*x)*(1-4*x)*(1-8*x)*(1-11*x))+O(x^99)) \\ _Charles R Greathouse IV_, Sep 27 2012

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_.

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Last modified April 16 11:32 EDT 2024. Contains 371711 sequences. (Running on oeis4.)