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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. +0
3
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 (list; graph; listen)
OFFSET

1,2

COMMENT

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.

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 this_sequence A071242 A141033 A044959

Adjacent sequences: A166458 A166459 A166460 this_sequence A166462 A166463 A166464

KEYWORD

base,fini,full,nonn

AUTHOR

Eric Angelini (<Eric.Angelini(AT)kntv.be) and Zak Seidov (zakseidov(AT)yahoo.com), Oct 14 2009

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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