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A134942
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Numbers n such that there exists no number k with k-P(k) = n, where P(k) is the product of digits of k written in base 10.
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0
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1, 2, 3, 4, 5, 6, 7, 8, 21, 23, 27, 29, 32, 33, 36, 39, 41, 43, 44, 47, 48, 49, 51, 53, 54, 56, 57, 61, 62, 63, 65, 67, 68, 69, 71, 72, 75, 76, 77, 78, 79, 81, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 121, 123, 127, 129, 132, 133, 136, 139, 141, 143
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OFFSET
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1,2
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COMMENTS
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Obviously no number containing a zero digit is in the sequence.
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LINKS
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EXAMPLE
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For 0 <= p <= 9, p - P(p) = 0, hence 0 is in the sequence.
It's easy to see that if p has 2 digits or more the difference p - P(p) has at least 2 digits, hence 1 to 9 are in the sequence.
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CROSSREFS
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KEYWORD
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easy,nonn,base
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AUTHOR
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Philippe Lallouet (philip.lallouet(AT)orange.fr), Feb 01 2008
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STATUS
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approved
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