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Search: id:A094776
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| A094776 |
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a(n) = the greatest i such that the decimal representation of 2^i doesn't contain the digit n. |
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+0
1
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OFFSET
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0,1
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REFERENCES
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J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 71, p. 25, Ellipses, Paris 2008.
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EXAMPLE
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a(0)=86 because 2^86 = 77371252455336267181195264 is conjectured to be the highest power of 2 that doesn't contain the digit 0.
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MATHEMATICA
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f[n_] := Block[{a = {}, k = 1}, While[k < 10000, If[ Position[ Union[ IntegerDigits[ 2^k, 10]], n] == {}, AppendTo[a, k]]; k++ ]; a]; Table[ f[n][[ -1]], {n, 0, 9}] (from Robert G. Wilson v Jun 12 2004)
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CROSSREFS
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Sequence in context: A058907 A045101 A020215 this_sequence A095595 A095581 A097399
Adjacent sequences: A094773 A094774 A094775 this_sequence A094777 A094778 A094779
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KEYWORD
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nonn,fini,full,base
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AUTHOR
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Michael Taktikos (michael.taktikos(AT)hanse.net), Jun 09 2004
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EXTENSIONS
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I believe these values have not been proved to be correct, but are only conjectures. - N. J. A. Sloane (njas(AT)research.att.com), Jun 10, 2004
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