A213217 Earliest string in {1,2,...9}* that is order-isomorphic to string formed by digits of n.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 21, 11, 12, 12, 12, 12, 12, 12, 12, 12, 21, 21, 11, 12, 12, 12, 12, 12, 12, 12, 21, 21, 21, 11, 12, 12, 12, 12, 12, 12, 21, 21, 21, 21, 11, 12, 12, 12, 12, 12, 21, 21, 21, 21, 21, 11, 12, 12, 12, 12, 21, 21, 21, 21, 21, 21, 11, 12, 12, 12, 21, 21, 21, 21, 21, 21, 21, 11, 12, 12, 21, 21, 21, 21, 21, 21, 21, 21, 11, 12, 21, 21, 21, 21, 21, 21, 21, 21, 21, 11, 211, 212, 213, 213, 213, 213, 213, 213, 213, 213, 221, 111, 112, 112, 112, 112, 112, 112, 112, 112

Offset

0,11

Comments

Well-defined for n < 1023456789 (i.e. until all ten digits appear in n).

a(n) = n iff n = (10^k-1)/9 for some k<10.

Links

Table of n, a(n) for n=0..119.

Example

73307 is order-isomorphic to 32213, so a(73307) = 32213.
a(n) = 1 for n <= 9; a(10)=21, a(11)=11, a(12)=...=a(19)=12, a(20)=21, ...

Crossrefs

Sequence in context: A318648 A033341 A252629 * A300505 A086981 A114011

Adjacent sequences: A213214 A213215 A213216 * A213218 A213219 A213220

Keyword

nonn,base

Author

N. J. A. Sloane, Mar 02 2013

Status

approved