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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
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.
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
Rick L. Shepherd, Aug 27 2009
STATUS
approved