

A129459


Slowest increasing sequence that starts with 0 and has property that multiplying two consecutive terms gives a number which shares at least one digit with one of the terms.


2



0, 1, 2, 6, 8, 10, 11, 12, 13, 14, 15, 17, 20, 21, 22, 24, 26, 27, 28, 29, 30, 31, 32, 35, 36, 37, 39, 40, 41, 42, 44, 46, 47, 50, 51, 52, 53, 55, 57, 60, 61, 62, 63, 64, 65, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 78, 80, 81, 82, 83, 85, 87, 88, 89, 90, 91, 92, 94, 95, 96, 97
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OFFSET

0,3


COMMENTS

Terms computed by Stefan Steinerberger.


LINKS

Table of n, a(n) for n=0..70.


MATHEMATICA

a = {0}; For[n = 1, n <= 100, n++, If[Length[Intersection[IntegerDigits[n*a[[ 1]]], Union[IntegerDigits[n], IntegerDigits[a[[ 1]]]]]] != 0, AppendTo[a, n]]]; a


CROSSREFS

Sequence in context: A284889 A192125 A166270 * A028772 A325463 A121744
Adjacent sequences: A129456 A129457 A129458 * A129460 A129461 A129462


KEYWORD

base,easy,nonn


AUTHOR

Eric Angelini, May 29 2007


STATUS

approved



