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A105239 Trajectory of 1 under the morphism 1 -> 121, 2 -> 434, 3 -> 212, 4 -> 343. 0
1, 2, 1, 4, 3, 4, 1, 2, 1, 3, 4, 3, 2, 1, 2, 3, 4, 3, 1, 2, 1, 4, 3, 4, 1, 2, 1, 2, 1, 2, 3, 4, 3, 2, 1, 2, 4, 3, 4, 1, 2, 1, 4, 3, 4, 2, 1, 2, 3, 4, 3, 2, 1, 2, 1, 2, 1, 4, 3, 4, 1, 2, 1, 3, 4, 3, 2, 1, 2, 3, 4, 3, 1, 2, 1, 4, 3, 4, 1, 2, 1, 4, 3, 4, 1, 2, 1, 4, 3, 4, 2, 1, 2, 3, 4, 3, 2, 1, 2, 4, 3, 4, 1, 2, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Dekking substitution for the Peano space filling set: characteristic polynomial=x^4-3*x^3-3*x+9.

This substitution is useful for computing the Peano set by bb = aa /. 1 -> {1, 0} /. 2 -> {0, 1} /. 3 -> {-1, 0} /. 4 -> {0, -1}; ListPlot[FoldList[Plus, {0, 0}, bb], PlotRange -> All, PlotJoined -> True, Axes -> False];

LINKS

Table of n, a(n) for n=0..104.

F. M. Dekking, Recurrent sets, Advances in Mathematics, vol. 44, no. 1 (1982), 78-104; page 85, section 4.1.

Index entries for sequences that are fixed points of mappings

MATHEMATICA

Flatten[ Nest[ Flatten[ # /. {1 -> {1, 2, 1}, 2 -> {4, 3, 4}, 3 -> {2, 1, 2}, 4 -> {3, 4, 3}} &], {1}, 5]]

CROSSREFS

Sequence in context: A159573 A102916 A081234 * A261366 A283166 A130973

Adjacent sequences:  A105236 A105237 A105238 * A105240 A105241 A105242

KEYWORD

nonn

AUTHOR

Roger L. Bagula, Apr 29 2005

STATUS

approved

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Last modified November 18 17:33 EST 2019. Contains 329287 sequences. (Running on oeis4.)