A166461 a(n) is the smallest integer > a(n-1) such that a(n) shares no digit with a(n-1) and c=a(n-1)+a(n), and also a(n-1) shares no digit with c.

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 42, 51, 249, 306, 419, 2587, 3413, 5255, 6064, 7255, 8844, 11156, 22222, 31778, 60444, 72755, 88344, 111656, 222088, 333361, 422224, 508887, 622224, 708887, 922224, 5138383

Offset

1,2

Comments

For this particular case a(1)=1, the sequence is finite with the last term a(38)=5138383.

For other seeds a(1) the behavior of sequence may be different.

Links

Table of n, a(n) for n=1..38.

Example

a=922224, b=5138383, c=6060607:
no common digit in pair(a,b),
no common digit in pair (a,c), and also
no common digit in pair (b,c).

Crossrefs

Sequence in context: A062179 A122875 A080716 * A275772 A071242 A044959

Adjacent sequences: A166458 A166459 A166460 * A166462 A166463 A166464

Keyword

base,fini,full,nonn

Author

Eric Angelini and Zak Seidov, Oct 14 2009

Status

approved