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A025982 Expansion of 1/((1-2x)(1-4x)(1-9x)(1-12x)). 0

%I

%S 1,27,487,7431,103951,1382439,17812639,224794647,2797053391,

%T 34460823111,421597615231,5131789410423,62235068724271,

%U 752703321093543,9085382857597663,109501083478899159,1318301413026203791

%N Expansion of 1/((1-2x)(1-4x)(1-9x)(1-12x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (27, -242, 816, -864).

%F a(0)=1, a(1)=27, a(2)=487, a(3)=7431, a(n)=27*a(n-1)-242*a(n-2)+ 816*a(n-3)- 864*a(n-4) -- From _Harvey P. Dale_, Jul 21 2012

%F a(n) = -2*2^n/35 +4*4^n/5 -243*9^n/35 +36*12^n/5. _R. J. Mathar_, Jun 20 2013

%t CoefficientList[Series[1/((1-2x)(1-4x)(1-9x)(1-12x)),{x,0,30}],x] (* or *) LinearRecurrence[{27,-242,816,-864},{1,27,487,7431},30] (* _Harvey P. Dale_, Jul 21 2012 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_.

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Last modified September 26 05:00 EDT 2022. Contains 356986 sequences. (Running on oeis4.)