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A229830
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Trajectory of 1 under the morphism 1 -> 12, 2 -> 1232, 3 -> 123432, 4 -> 12345432, etc.
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1
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1, 2, 1, 2, 3, 2, 1, 2, 1, 2, 3, 2, 1, 2, 3, 4, 3, 2, 1, 2, 3, 2, 1, 2, 1, 2, 3, 2, 1, 2, 1, 2, 3, 2, 1, 2, 3, 4, 3, 2, 1, 2, 3, 2, 1, 2, 1, 2, 3, 2, 1, 2, 3, 4, 3, 2, 1, 2, 3, 4, 5, 4, 3, 2, 1, 2, 3, 4, 3, 2, 1, 2, 3, 2, 1, 2, 1, 2, 3, 2, 1, 2, 3, 4, 3, 2, 1
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OFFSET
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1,2
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COMMENTS
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It appears that records occur at A000111. [This is false. - Rémy Sigrist, Nov 15 2018]
The n-th local maximum equals a(n) + 1. - Rémy Sigrist, Nov 13 2018
Records at {1, 2, 5, 16, 61, 258, 1161, 5440, 26233, 129282, 648141, 3294864, ...}, which seems to match A104858. - Michael De Vlieger, Nov 13 2018
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LINKS
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Rémy Sigrist, Table of n, a(n) for n = 1..8558 (7 iterations)
Index entries for sequences that are fixed points of mappings
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MATHEMATICA
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With[{n = 5}, Take[#, LengthWhile[#, # <= n &] + 1] &@ Nest[Flatten[# /. Array[Last@ # - 1 -> Most[#~Join~Reverse@ Most@ #] &@ Range@ # &, Max@ #, 2]] &, {1}, n]] (* Michael De Vlieger, Nov 13 2018 *)
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PROG
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(PARI) a = vector(87); a[1]=1; n=0; for (p=1, oo, h=1+a[p]; for (v=1, h, a[n++]=v; print1 (v ", "); if (n==#a, break (2))); forstep (v=h-1, 2, -1,
a[n++]=v; print1 (v ", "); if (n==#a, break (2)))) \\ Rémy Sigrist, Nov 13 2018
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CROSSREFS
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Cf. A007001, A000111.
Sequence in context: A018194 A338630 A286281 * A105203 A317952 A059131
Adjacent sequences: A229827 A229828 A229829 * A229831 A229832 A229833
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KEYWORD
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nonn
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AUTHOR
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Franklin T. Adams-Watters, Dec 08 2013
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EXTENSIONS
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Data corrected by Rémy Sigrist, Nov 13 2018
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STATUS
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approved
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