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Periodic with period 8: repeat 0, 8, 12, 14, 15, 7, 3, 1.
1

%I #15 Sep 22 2024 17:51:20

%S 0,8,12,14,15,7,3,1,0,8,12,14,15,7,3,1,0,8,12,14,15,7,3,1,0,8,12,14,

%T 15,7,3,1,0,8,12,14,15,7,3,1,0,8,12,14,15,7,3,1,0,8,12,14,15,7,3,1,0,

%U 8,12,14,15,7,3,1,0,8,12,14,15,7,3,1,0,8,12,14,15,7,3,1,0,8,12,14,15,7,3,1,0,8,12,14,15,7,3,1

%N Periodic with period 8: repeat 0, 8, 12, 14, 15, 7, 3, 1.

%C Convert the following binary numbers to base 10:

%C 0000

%C 1000

%C 1100

%C 1110

%C 1111

%C 0111

%C 0011

%C 0001

%C 0000

%C 1000

%C etc.

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,-1,1).

%F G.f.: x(x+2)(4+x^2)/((1-x)(1+x^4)). [From _R. J. Mathar_, Sep 04 2008]

%F a(n) = (9^n mod 17) - 1. - _Ridouane Oudra_, Sep 22 2024

%Y Cf. A117589.

%K nonn,easy,changed

%O 0,2

%A Cassandra (ca947(AT)nyu.edu), Sep 03 2008

%E Edited by _N. J. A. Sloane_, Sep 03 2008