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Search: id:A106370
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A106370 Smallest b>1 such that n contains no zeros in its base b representation. +0
4
2, 3, 2, 3, 3, 4, 2, 3, 4, 4, 4, 5, 3, 3, 2, 3, 3, 5, 5, 6, 4, 3, 3, 5, 3, 3, 4, 6, 4, 4, 2, 5, 5, 5, 6, 5, 4, 4, 4, 3, 3, 4, 3, 3, 4, 4, 4, 5, 3, 3, 6, 3, 3, 4, 4, 5, 4, 4, 4, 7, 4, 4, 2, 5, 6, 5, 3, 3, 5, 3, 3, 5, 5, 5, 7, 3, 3, 7, 3, 3, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 4, 4, 4, 6, 4 (list; graph; listen)
OFFSET

1,1

COMMENT

a(n*a(n)+k) <= a(n) for 1<=k<a(n);

a(A106372(n)) = b and a(m) <> n for m < A106372(n);

a(A000225(n)) = 2; a(A032924(n)) = 3 for n <> 5.

EXAMPLE

n=20: 20[binary]='101001', 20[ternary]='202',

20[base-4]='110', 20[base-5]='40', all containing at least one zero,

but: 20[base-6]='32', containing no zero therefore a(20)=6.

CROSSREFS

Cf. A106371.

Sequence in context: A129759 A137467 A078627 this_sequence A128630 A086389 A128622

Adjacent sequences: A106367 A106368 A106369 this_sequence A106371 A106372 A106373

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), May 01 2005

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.


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