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A110044 a(0) = 11, a(1) = 23; for n > 1, a(n) = |a(n-1) - a(n-2)|. 2

%I

%S 11,23,12,11,1,10,9,1,8,7,1,6,5,1,4,3,1,2,1,1,0,1,1,0,1,1,0,1,1,0,1,1,

%T 0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,

%U 1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1

%N a(0) = 11, a(1) = 23; for n > 1, a(n) = |a(n-1) - a(n-2)|.

%C Since a(18)=a(19)=1, starting from here the sequence is periodic with period 3: 1,1,0,1,1,0,1,1,0,... - _Emeric Deutsch_, Jul 13 2005

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 1).

%F a(n) = 2/3 + 1/3*cos(2*Pi*n/3) + 1/3*3^(1/2)*sin(2*Pi*n/3) for n >= 19. - _Richard Choulet_, Dec 12 2008

%p a[0]:=11: a[1]:=23: for n from 2 to 120 do a[n]:=abs(a[n-1]-a[n-2]) od: seq(a[n],n=0..120); # _Emeric Deutsch_, Jul 13 2005

%t Join[{11, 23, 12, 11, 1, 10, 9, 1, 8, 7, 1, 6, 5, 1, 4, 3, 1, 2},LinearRecurrence[{0, 0, 1},{1, 1, 0},85]] (* _Ray Chandler_, Aug 25 2015 *)

%Y Cf. A141571.

%K nonn,easy

%O 0,1

%A _Edwin F. Sampang_, Jul 09 2005

%E More terms from _Emeric Deutsch_, Jul 13 2005

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Last modified August 12 09:24 EDT 2020. Contains 336438 sequences. (Running on oeis4.)