A102150 a(0)=0; a(1)=2. Slowest increasing sequence where every digit "d" has a copy of itself in a(n+d).

0, 2, 3, 12, 13, 123, 124, 132, 213, 214, 1234, 1235, 1236, 1243, 1324, 1325, 1352, 1423, 12346, 12347, 12350, 12354, 12364, 12374, 12376, 12435, 123457, 123458, 123459, 123460, 1234567, 1234568, 1234569, 1234570, 1234571, 1234586, 1234596

Offset

0,2

Links

Table of n, a(n) for n=0..36.

Example

The copy of the first "2" is to be found in "12", 2 jumps to the right.
The copy of the first "3" is to be found in "123", 3 jumps to the right.
The copy of the first "1" is to be found in "13", 1 jump to the right, etc.
The "3" of "13" comes from the obligation of having the smallest gap between two integers. The same reason explains the apparition of the first "4" (the next integer after 123 is 124). The digit "0" obeys the same rules and doesn't copy itself anywhere, of course.

Crossrefs

Sequence in context: A309176 A074347 A102034 * A039588 A024579 A291565

Adjacent sequences: A102147 A102148 A102149 * A102151 A102152 A102153

Keyword

base,easy,nonn

Author

Eric Angelini, Feb 15 2005

Status

approved