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A100337 Arshon's sequence with a different start: start from 3 and replace the letters in odd positions using 1 -> 123, 2 -> 231, 3 -> 312 and the letters in even positions using 1 -> 321, 2-> 132, 3 -> 213. 3
3, 1, 2, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 1, 3, 1, 2, 3, 1, 3, 2, 1, 2, 3, 2, 1, 3, 2, 3, 1, 2, 1, 3, 1, 2, 3, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 1, 3, 1, 2, 3, 1, 3, 2, 1, 2, 3, 2, 1, 3, 1, 2, 3, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 1, 2, 1, 3, 2, 1, 2, 3, 1, 3, 2, 3, 1, 2, 1, 3, 2, 1, 2, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..105.

MATHEMATICA

f[n_List] := Block[{a = {}, l = Length[n], k = 1}, While[k < l + 1, If[EvenQ[k], Switch[ n[[k]], 1, AppendTo[a, 321], 2, AppendTo[a, 132], 3, AppendTo[a, 213]], Switch[ n[[k]], 1, AppendTo[a, 123], 2, AppendTo[a, 231], 3, AppendTo[a, 312]]]; k++ ]; Flatten[ IntegerDigits /@ a]]; Take[ Nest[f, {3}, 5], 105]

CROSSREFS

Inspired by A099054. Cf. A100336.

Sequence in context: A132399 A287616 A081485 * A036584 A260453 A210243

Adjacent sequences:  A100334 A100335 A100336 * A100338 A100339 A100340

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Nov 17 2004

STATUS

approved

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Last modified August 20 20:09 EDT 2017. Contains 290837 sequences.