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%I #21 Feb 20 2024 01:09:26
%S 1,2,2,4,5,6,12,16,25,42,58,92,141,206,324,488,737,1138,1714,2612,
%T 3989,6038,9212,14016,21289,32442,49322,75020,114205,173662,264244,
%U 402072,611569,930562,1415714,2153700,3276837,4985126,7584236,11538800
%N Expansion of (1 + x)^2 / ((1 - x^2 - 2*x^3)*(1 + x^4)).
%H Colin Barker, <a href="/A107849/b107849.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,2,-1,0,1,2).
%F a(n) = A052947(n+2) + A014017(n+6). - _Ralf Stephan_, Nov 30 2010
%F a(n) = a(n-2) + 2*a(n-3) - a(n-4) + a(n-6) + 2*a(n-7) for n>6. - _Colin Barker_, Apr 30 2019
%t CoefficientList[Series[(1 + x)^2 / ((1 - x^2 - 2*x^3)*(1 + x^4)),{x,0,39}],x] (* _James C. McMahon_, Feb 19 2024 *)
%o (PARI) Vec((1 + x)^2 / ((1 - x^2 - 2*x^3)*(1 + x^4)) + O(x^45)) \\ _Colin Barker_, Apr 30 2019
%Y Cf. A107850, A107851, A107852.
%K easy,nonn
%O 0,2
%A _Creighton Dement_, May 25 2005
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