

A164832


Least nonnegative integer k such that the decimal representations of k and k+1 have n distinct digits in common.


0



0, 10, 100, 1020, 10230, 102340, 1023450, 10234560, 102345670, 1023456780, 10234567889
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OFFSET

0,2


COMMENTS

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.


LINKS



FORMULA

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.).


EXAMPLE

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.


CROSSREFS



KEYWORD

base,easy,fini,full,nonn


AUTHOR



STATUS

approved



