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A123121 Length of the n-th Zimin word (A082215(n)). +0
3
1, 3, 7, 15, 31, 63, 127, 255, 511, 1024, 2050, 4102, 8206, 16414, 32830, 65662, 131326, 262654, 525310, 1050622, 2101246, 4202494, 8404990, 16809982, 33619966, 67239934, 134479870, 268959742, 537919486, 1075838974, 2151677950 (list; graph; listen)
OFFSET

1,2

REFERENCES

L. J. Cummings and M. Mays, A one-sided Zimin construction, Electron. J. Combin. 8 (2001), #R27

A. I. Zimin, Blocking sets of terms, Math. USSR Sbornik, 47 (1984), No. 2, 353-364.

FORMULA

L(n) = 2*L(n-1) + ceil(log_10(n+1))

EXAMPLE

The Zimin words are defined by Z_1 = 1, Z_n = Z_{n-1}nZ_{n-1}.

So the Zimin words are 1, 121, 1213121, 121312141213121 ...

CROSSREFS

Cf. A082215.

Sequence in context: A060152 A126646 A000225 this_sequence A117060 A057613 A129984

Adjacent sequences: A123118 A123119 A123120 this_sequence A123122 A123123 A123124

KEYWORD

nonn

AUTHOR

Dmitry Kamenetsky (Dmitry.Kamenetsky(AT)rsise.anu.edu.au), Sep 29 2006

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Last modified September 7 15:23 EDT 2008. Contains 143483 sequences.


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