A306374 - OEIS

A306374

Lexicographically earliest sequence starting with a(1) = 23 with no duplicate terms such that the n-th digit of the sequence is not a divisor of a(n).

23, 2, 3, 4, 5, 6, 7, 8, 9, 22, 25, 27, 29, 24, 33, 26, 35, 28, 37, 34, 32, 38, 39, 43, 44, 36, 45, 42, 46, 47, 49, 53, 52, 55, 56, 54, 58, 48, 57, 59, 62, 63, 64, 65, 66, 67, 69, 73, 74, 68, 75, 72, 77, 76, 78, 79, 82, 83, 84, 86, 87, 85, 88, 89, 92, 93, 94, 95, 96, 97, 98, 222, 99, 223, 224, 226, 225, 227, 229, 228, 232, 233

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OFFSET

1,1

COMMENTS

This sequence doesn't include any term containing at least one digit 0 or one digit 1 as we want the sequence to extend forever.

Any a(1) < 23 would be in contradiction with the definition.

LINKS

Jean-Marc Falcoz, Table of n, a(n) for n = 1..20001

EXAMPLE

The sequence starts with 23,2,3,4,5,6,7,8,9,22,25,27,29,24...

The 1st digit of the sequence is 2 and 2 is not a divisor of a(1) = 23;

the 2nd digit of the sequence is 3 and 3 is not a divisor of a(2) = 2;