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A025976 Expansion of 1/((1-2x)(1-4x)(1-8x)(1-9x)). 0

%I

%S 1,23,347,4363,49683,532491,5483299,54909371,538792595,5206523179,

%T 49719923331,470377414299,4416615113587,41215417310987,

%U 382666342963043,3537819931431547,32590970730866259,299323501721262315

%N Expansion of 1/((1-2x)(1-4x)(1-8x)(1-9x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (23, -182, 568, -576).

%F a(n) = -2*2^n/21 +8*4^n/5 -64*8^n/3 +729*9^n/35. _R. J. Mathar_, Jun 20 2013

%F a(0)=1, a(1)=23, a(2)=347, a(3)=4363, a(n)=23*a(n-1)-182*a(n-2)+ 568*a(n-3)- 576*a(n-4). - _Harvey P. Dale_, Sep 11 2013

%t CoefficientList[Series[1/((1-2x)(1-4x)(1-8x)(1-9x)),{x,0,30}],x] (* or *) LinearRecurrence[{23,-182,568,-576},{1,23,347,4363},30] (* _Harvey P. Dale_, Sep 11 2013 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_.

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Last modified August 9 21:08 EDT 2022. Contains 356026 sequences. (Running on oeis4.)