A101222 Slowest increasing sequence where the absolute difference between the last digit of a(n) and the first digit of a(n+1) equals 1.

0, 1, 2, 10, 12, 13, 21, 23, 24, 32, 34, 35, 43, 45, 46, 54, 56, 57, 65, 67, 68, 76, 78, 79, 87, 88, 90, 100, 102, 110, 112, 120, 122, 130, 132, 140, 142, 150, 152, 160, 162, 170, 172, 180, 182, 190, 192, 193, 201, 203, 211, 213, 221, 223, 241, 243, 251, 253, 261

Offset

0,3

Comments

This is the slowest growing such sequence in the limiting sense; any other such sequence b must eventually have b(n) > a(n) for sufficiently large n. It is not the slowest growing in the greedy or lexical sense. "Slowest growing" in this sense does not necessarily exist for arbitrary properties, but it does in this case. - Franklin T. Adams-Watters, Oct 25 2006

Links

Table of n, a(n) for n=0..58.

Crossrefs

Sequence in context: A300907 A327793 A276103 * A349831 A079252 A108064

Adjacent sequences: A101219 A101220 A101221 * A101223 A101224 A101225

Keyword

base,easy,nonn

Author

Eric Angelini, Dec 15 2004

Status

approved