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Search: id:A105646
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| A105646 |
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Fixed point of the morphism 1 -> 121, 2 -> 343, 3 -> 434, 4 -> 212, starting from a(0) = 1. |
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+0
1
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| 1, 2, 1, 3, 4, 3, 1, 2, 1, 4, 3, 4, 2, 1, 2, 4, 3, 4, 1, 2, 1, 3, 4, 3, 1, 2, 1, 2, 1, 2, 4, 3, 4, 2, 1, 2, 3, 4, 3, 1, 2, 1, 3, 4, 3, 2, 1, 2, 4, 3, 4, 2, 1, 2, 1, 2, 1, 3, 4, 3, 1, 2, 1, 4, 3, 4, 2, 1, 2, 4, 3, 4, 1, 2, 1, 3, 4, 3, 1, 2, 1, 3, 4, 3, 1, 2, 1, 3, 4, 3, 2, 1, 2, 4, 3, 4, 2, 1, 2, 3, 4, 3, 1, 2, 1
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Rectangular space-fill from Peano space-fill by row permutation of the digraph matrix: Characteristic polynomial: x^4-3*x^3-3*x+9.
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REFERENCES
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F. M. Deking, "Recurrent Sets", Advances in Mathematics, vol. 44, no. 1, 1982, page 85, section 4.1
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FORMULA
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1->{1, 2, 1}, 2->{3, 4, 3}, 3->{4, 3, 4}, 4->{2, 1, 2}
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MATHEMATICA
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Flatten[ Nest[ Flatten[ # /. {1 -> {1, 2, 1}, 2 -> {3, 4, 3}, 3 -> {4, 3, 4}, 4 -> {2, 1, 2}}] &, {1}, 4]] (* Robert G. Wilson v *)
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CROSSREFS
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Adjacent sequences: A105643 A105644 A105645 this_sequence A105647 A105648 A105649
Sequence in context: A026366 A122164 A076632 this_sequence A059126 A059128 A050273
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KEYWORD
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nonn
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AUTHOR
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Roger Bagula (rlbagulatftn(AT)yahoo.com), May 03 2005
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EXTENSIONS
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Edited by Robert G. Wilson v (rgwv(at)rgwv.com), Jan 24 2006
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