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4-symbol sequence with period 96.
0

%I #9 Nov 18 2016 09:24:08

%S 0,1,2,3,0,3,1,0,2,3,2,1,0,3,1,3,2,1,2,0,1,3,1,2,0,2,3,0,1,0,2,0,3,1,

%T 2,3,2,0,1,0,3,2,1,3,1,0,3,0,2,3,1,3,0,1,2,1,3,2,0,3,0,1,3,2,3,0,2,1,

%U 2,3,1,0,1,2,0,3,2,3,1,2,1,0,2,1,3,0,3,2,0,2,1,0,1,3,0,2,0,1,2

%N 4-symbol sequence with period 96.

%C In each period there are 24 of each of the 4 digits. Properties:

%C 1) No digit is repeated in the sequence. No group of digits is repeated in the sequence.

%C 2) All possible four-digit combinations (taking rule #1 in account) are represented in the forward reading of the sequence.

%C 3) All possible four-digit combinations (taking rule #1 in account) are represented in the backward reading of the sequence.

%D Erik Evenson, posting to sci.math, Jan 09, 2004

%H <a href="/index/Rec#order_96">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

%K nonn,easy

%O 0,3

%A _N. J. A. Sloane_, Jan 15 2004