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A094006 a(1) = a(2) = 1; for n>1, a(n+1) = largest integer k such that the word a(1)a(2)...a(n-1) is of the form xy^k for words x and y (where y has positive length), i.e. the maximal number of repeating blocks at the end of the sequence so far. +0
1
1, 1, 1, 2, 3, 1, 1, 1, 2, 3, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 3, 4, 1, 1, 1, 2, 3, 1, 1, 1, 2, 3, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 3, 4, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 3, 4, 1, 2, 2, 2, 2, 3, 4, 1, 2, 2, 2, 2, 3, 4, 2, 3, 1, 1, 1, 2, 3, 1, 1, 1 (list; graph; listen)
OFFSET

1,4

LINKS

F. J. van de Bult, D. C. Gijswijt, J. P. Linderman, N. J. A. Sloane and A. R. Wilks, A Slow-Growing Sequence Defined by an Unusual Recurrence, J. Integer Sequences, Vol. 10 (2007), #07.1.2.

F. J. van de Bult, D. C. Gijswijt, J. P. Linderman, N. J. A. Sloane and A. R. Wilks, A Slow-Growing Sequence Defined by an Unusual Recurrence [pdf, ps].

CROSSREFS

Cf. A090822.

Sequence in context: A086197 A139336 A100619 this_sequence A140188 A140737 A108756

Adjacent sequences: A094003 A094004 A094005 this_sequence A094007 A094008 A094009

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), May 31 2004

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Last modified December 17 13:29 EST 2009. Contains 170826 sequences.


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