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 A028160 Expansion of 1/((1-4x)(1-8x)(1-11x)(1-12x)). 1

%I #16 Sep 25 2023 23:09:36

%S 1,35,785,14395,235401,3578595,51754945,722167115,9811679801,

%T 130610749555,1711051941105,22130751379035,283285847668201,

%U 3595414758854915,45309603386047265,567596497380674155

%N Expansion of 1/((1-4x)(1-8x)(1-11x)(1-12x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (35,-440,2320,-4224).

%F a(n) = 23*a(n-1) - 132*a(n-2) + 2^(3n+1) - 4^n, n >= 2. - _Vincenzo Librandi_, Mar 16 2011

%F a(n) = -11^(n+3)/21 + 4*8^(n+1)/3 + 54*12^n - 2*4^n/7. - _R. J. Mathar_, Mar 17 2011

%t CoefficientList[Series[1/((1 - 4 x) (1 - 8 x) (1 - 11 x) (1 - 12 x)), {x, 0, 20}], x] (* _Wesley Ivan Hurt_, Sep 25 2023 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_

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Last modified February 24 05:48 EST 2024. Contains 370292 sequences. (Running on oeis4.)