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a(n) = A000244(n) - A010684(n).
1

%I #10 Feb 10 2020 02:13:50

%S 0,0,8,24,80,240,728,2184,6560,19680,59048,177144,531440,1594320,

%T 4782968,14348904,43046720,129140160,387420488,1162261464,3486784400,

%U 10460353200,31381059608,94143178824,282429536480,847288609440

%N a(n) = A000244(n) - A010684(n).

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,1,-3).

%F O.g.f.: 8*x^2/((1-3*x)*(1-x)*(1+x)). - _R. J. Mathar_, Aug 09 2008

%p A010684 := proc(n) 1+2*(n mod 2) ; end: A141317 := proc(n) 3^n-A010684(n) ; end: for n from 0 to 50 do printf("%d,",A141317(n)) ; od: # _R. J. Mathar_, Aug 09 2008

%t CoefficientList[Series[8x^2/((1-3x)(1-x)(1+x)),{x,0,30}],x] (* _Harvey P. Dale_, Sep 16 2019 *)

%K nonn

%O 0,3

%A _Paul Curtz_, Aug 02 2008

%E Extended by _R. J. Mathar_, Aug 09 2008