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%I #7 Jun 21 2023 09:19:58
%S 57,71,57,71,57,71,57,71,57,71,57,71,57,71,57,71,57,71,57,71,57,71,57,
%T 71,57,71,57,71,57,71,57,71,57,71,57,71,57,71,57,71,57,71,57,71,57,71,
%U 57,71,57,71,57,71,57,71,57,71,57,71,57,71,57,71,57,71,57,71,57,71,57
%N Periodic sequence: Repeat 57, 71.
%C Continued fraction expansion of (4047+sqrt(16394397))/142.
%C Inverse binomial transform of 57 followed by 128*A000079.
%C Third inverse binomial transform of A176635.
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (0, 1).
%F a(n) = 64-7*(-1)^n.
%F a(n) = -a(n-1)+128 for n > 0; a(0) = 57.
%F a(n) = a(n-2) for n > 1; a(0) = 57, a(1) = 71.
%F G.f.: (57+71*x)/((1-x)*(1+x)).
%t PadRight[{},100,{57,71}] (* _Harvey P. Dale_, Jun 18 2014 *)
%o (Magma) &cat[ [57, 71]: k in [1..35] ];
%Y Cf. A000079 (powers of 2), A176635, A176713 (decimal expansion of (4047+sqrt(16394397))/142).
%K easy,cofr,nonn
%O 0,1
%A _Klaus Brockhaus_, Apr 22 2010
%E Comment, crossref and keyword cofr added by _Klaus Brockhaus_, Apr 24 2010
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