A001808 - OEIS

%I #26 Feb 04 2022 00:52:39

%S 1,11,67,297,1068,3300,9076,22748,52834,115126,237590,467842,884236,

%T 1611908,2845492,4880668,8157227,13316953,21280337,33346963,51325352,

%U 77699128,115837592,170260168,246965732,353839564,501152588,702169700,973886344,1337915096

%N Expansion of 1/((1+x)*(1-x)^12).

%H Vincenzo Librandi, <a href="/A001808/b001808.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_13">Index entries for linear recurrences with constant coefficients</a>, signature (11,-54,154,-275,297,-132,-132,297,-275,154,-54,11,-1).

%t CoefficientList[Series[1/((1+x)(1-x)^12),{x,0,50}],x] (* _Vincenzo Librandi_, Feb 24 2012 *)

%t LinearRecurrence[{11,-54,154,-275,297,-132,-132,297,-275,154,-54,11,-1},{1,11,67,297,1068,3300,9076,22748,52834,115126,237590,467842,884236},30] (* _Harvey P. Dale_, Jun 22 2014 *)

%o (PARI) Vec(1/((1+x)*(1-x)^12)+O(x^20)) \\ _Edward Jiang_, Sep 07 2014

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_