cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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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.

Original entry on oeis.org

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

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Author

Rick L. Shepherd, Aug 27 2009

Keywords

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.

Examples

			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.

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.).
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Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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