A075854 Smallest integer composed of digits 1..n such that no subsequence is repeated and every possible subsequence of length 2 appears.

11, 11221, 1121322331, 11213142232433441, 11213141522324253343544551, 1121314151622324252633435364454655661, 11213141516172232425262733435363744546475565766771, 11213141516171822324252627283343536373844546474855657586676877881, 1121314151617181922324252627282933435363738394454647484955657585966768697787988991

Offset

1,1

Comments

The sequence is only defined to n=9. Only 11 is prime.

Links

Table of n, a(n) for n=1..9.

Formula

There is a fairly obvious pattern to these numbers.

Example

a[2]=11221, as 11 gives the lowest opening, 22 must come next, then 1.

Crossrefs

Sequence in context: A267940 A113615 A034873 * A050786 A228566 A228533

Adjacent sequences: A075851 A075852 A075853 * A075855 A075856 A075857

Keyword

nonn,base,fini,full

Author

Jon Perry, Oct 15 2002

Status

approved