A164832 Least nonnegative integer k such that the decimal representations of k and k+1 have n distinct digits in common.

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.

Links

Table of n, a(n) for n=0..10.

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

Cf. A076489, A121030, A107411.

Sequence in context: A283171 A283252 A278444 * A144822 A199763 A097178

Adjacent sequences: A164829 A164830 A164831 * A164833 A164834 A164835

Keyword

base,easy,fini,full,nonn

Author

Rick L. Shepherd, Aug 27 2009

Status

approved