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Search: id:A006996
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| A006996 |
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C(2n,n) mod 3.
(Formerly M0021)
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+0
7
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| 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 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, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Removing 0's from the sequence gives Thue-Morse sequence A001285 : 1,2,0,2,1,0,0,0,0,2,1,0,1,2,..->1,2,2,1,2,1,1,2,... - Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 04 2004
a(n) = 0 if n in A074940, a(n) = 1 if n in A074939, a(n) = 2 if n in A074938.
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LINKS
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Michael Gilleland, Some Self-Similar Integer Sequences
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FORMULA
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a(n)=A005704(n) mod 3. - Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 04 2004
A fixed point of the morphism : 1 -> 120, 2 -> 210, 0 -> 000 . - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Jan 08 2004
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MATHEMATICA
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Table[ Mod[ Binomial[2n, n], 3], {n, 0, 104}] (* Or *)
Nest[ Function[ l, {Flatten[(l /. {0 -> {0, 0, 0}, 1 -> {1, 2, 0}, 2 -> {2, 1, 0}})]}], {1}, 7] (from Robert G. Wilson v 28 2005)
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CROSSREFS
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Sequence in context: A056615 A060989 A135298 this_sequence A112604 A072627 A069848
Adjacent sequences: A006993 A006994 A006995 this_sequence A006997 A006998 A006999
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KEYWORD
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nonn
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AUTHOR
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njas, Jim Propp (propp(AT)math.wisc.edu)
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