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A058342 De Bruijn sequence of order 6: every window of size 6, [a(j),a(j+1),...,a(j+5)], shows a different 6-tuple, for 0 <= j <= 63.

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%I A058342 #4 Aug 26 2015 11:07:42
%S A058342 1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,
%T A058342 1,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,
%U A058342 0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1
%N A058342 De Bruijn sequence of order 6: every window of size 6, [a(j),a(j+1),...,a(j+5)], shows a different 6-tuple, for 0 <= j <= 63.
%D A058342 R. P. Stanley, Enumerative Combinatorics, Cambridge, Vol. 2, 1999; see Problem 5.6.12.
%H A058342 <a href="/index/Rec#order_63">Index entries for linear recurrences with constant coefficients</a>, signature (1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1).
%Y A058342 Cf. A016031. A169671 gives the earliest such sequence.
%K A058342 nonn,easy
%O A058342 0,1
%A A058342 Leon J. Tate (leonjtate(AT)earthlink.net), Dec 14 2000