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A168057 Expansion of (1+8x^2+8x^3)/((1-2x)^2*(1+2x+4x^2)). 3

%I

%S 1,2,12,40,80,224,576,1152,2816,6656,13312,30720,69632,139264,311296,

%T 688128,1376256,3014656,6553600,13107200,28311552,60817408,121634816,

%U 260046848,553648128,1107296256,2348810240,4966055936,9932111872

%N Expansion of (1+8x^2+8x^3)/((1-2x)^2*(1+2x+4x^2)).

%C Hankel transform of A168058 is (-1)^n*a(n).

%H G. C. Greubel, <a href="/A168057/b168057.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 (2,0,8,-16).

%F a(n) = 2^n*A168056(n).

%t CoefficientList[Series[(1+8x^2+8x^3)/((1-2x)^2(1+2x+4x^2)), {x,0,50}],x] (* _Harvey P. Dale_, Mar 24 2011 *)

%t LinearRecurrence[{2, 0, 8, -16}, {1, 2, 12, 40}, 50] (* _G. C. Greubel_, Jul 08 2016 *)

%K easy,nonn

%O 0,2

%A _Paul Barry_, Nov 17 2009

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Last modified March 8 07:37 EST 2021. Contains 341941 sequences. (Running on oeis4.)