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%I #16 Apr 20 2017 17:44:52
%S 1,5,6,28,34,158,192,892,1084,5036,6120,28432,34552,160520,195072,
%T 906256,1101328,5116496,6217824,28886464,35104288,163085792,198190080,
%U 920741824,1118931904,5198279360,6317211264,29348192512,35665403776,165692596352,201358000128
%N Expansion of x*(1+5*x-2*x^3)/(1-6*x^2+2*x^4).
%H Colin Barker, <a href="/A249221/b249221.txt">Table of n, a(n) for n = 1..1000</a>
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,6,0,-2).
%F a(n) = 6*a(n-2)-2*a(n-4).
%t CoefficientList[Series[(1 + 5 x - 2 x^3)/(1 - 6 x^2 + 2 x^4), {x, 0, 30}], x] (* _Vincenzo Librandi_, Oct 23 2014 *)
%t LinearRecurrence[{0,6,0,-2},{1,5,6,28},40] (* _Harvey P. Dale_, Apr 20 2017 *)
%o (PARI) Vec((1+5*x-2*x^3)/(1-6*x^2+2*x^4) + O(x^100))
%Y Cf. A022163, A022165, A249222.
%K nonn,easy
%O 1,2
%A _Colin Barker_, Oct 23 2014