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Slowest increasing sequence that starts with 2 and has property that multiplying two consecutive terms gives a number which does not share a digit with either of the two terms.
1

%I #8 Sep 16 2015 04:41:20

%S 2,3,4,5,6,7,8,9,42,43,44,45,46,63,66,67,73,76,77,78,79,84,88,113,183,

%T 219,232,233,236,333,334,335,522,577,579,589,698,738,803,819,858,859,

%U 899,3033,3037,3127,12792,27117,29662,29669,29777,33953,34409,34474

%N Slowest increasing sequence that starts with 2 and has property that multiplying two consecutive terms gives a number which does not share a digit with either of the two terms.

%C Terms computed by _Stefan Steinerberger_. Is the sequence finite?

%H Andrew Woods, <a href="/A129513/b129513.txt">Table of n, a(n) for n = 1..175</a>

%Y Cf. A129459.

%K base,nonn

%O 1,1

%A _Eric Angelini_, May 29 2007