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%I #28 Dec 14 2023 06:06:14
%S 6,10,6,10,6,10,6,10,6,10,6,10,6,10,6,10,6,10,6,10,6,10,6,10,6,10,6,
%T 10,6,10,6,10,6,10,6,10,6,10,6,10,6,10,6,10,6,10,6,10,6,10,6,10,6,10,
%U 6,10,6,10,6,10,6,10,6,10,6,10
%N Period 2: repeat (6,10).
%C From _Klaus Brockhaus_, Dec 10 2009: (Start)
%C Interleaving of A010722 and A010692.
%C Also continued fraction expansion of 3 + 4*sqrt(15)/5.
%C Binomial transform of 6 followed by A122803 without initial terms 1,-2.
%C Inverse binomial transform of A171494. (End)
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (0,1).
%F a(n) = -2*(-1)^n + 8. - _Paolo P. Lava_, Oct 27 2006
%F From _Klaus Brockhaus_, Dec 10 2009: (Start)
%F a(n) = a(n-2) for n > 1; a(0) = 6, a(1) = 10.
%F G.f.: 2*(3+5*x)/((1-x)*(1+x)). (End)
%t LinearRecurrence[{0,1},{6,10},90] (* or *) PadRight[{},90,{6,10}] (* _Harvey P. Dale_, Mar 07 2015 *)
%o (Magma) &cat[ [6, 10]: n in [1..42] ]; // _Klaus Brockhaus_, Dec 10 2009
%o (PARI) a(n)=6+n%2*4 \\ _Charles R Greathouse IV_, Dec 21 2011
%Y Equals 2*A010703. Cf. A010722 (all 6's sequence), A010692 (all 10's sequence), A122803 (powers of -2), A171494. - _Klaus Brockhaus_, Dec 10 2009
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_
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