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Search: id:A164832
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| A164832 |
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Least nonnegative integer k such that the decimal representations of k and k+1 have n distinct digits in common. |
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+0
1
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| 0, 10, 100, 1020, 10230, 102340, 1023450, 10234560, 102345670, 1023456780, 10234567889
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Finding a(10), the final term, could be a simple but instructive puzzle.
a(1) through a(9) is a subsequence of A121030. a(0) through a(9) is a subsequence of A107411.
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FORMULA
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For 1 <= n <= 10, a(n) is the least k such that A076489(k) = n. (This would be true for n = 0 also if A076489 considered nonnegative integers, having another initial 0 term and offset 0.).
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EXAMPLE
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a(10) = 10234567889 because 10234567889 and 10234567890 have all 10 decimal digits in common and this property does not hold for any smaller positive integer.
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CROSSREFS
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Cf. A076489, A121030, A107411.
Sequence in context: A118256 A102397 A132347 this_sequence A144822 A097178 A135651
Adjacent sequences: A164829 A164830 A164831 this_sequence A164833 A164834 A164835
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KEYWORD
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base,easy,fini,full,nonn
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AUTHOR
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Rick L. Shepherd (rshepherd2(AT)hotmail.com), Aug 27 2009
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