

A306374


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


1



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

JeanMarc 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;
the 3rd digit of the sequence is 2 and 2 is not a divisor of a(3) = 3;
the 4th digit of the sequence is 3 and 3 is not a divisor of a(4) = 4;
the 5th digit of the sequence is 4 and 4 is not a divisor of a(5) = 5;
...
the 11th digit of the sequence is 2 and 2 is not a divisor of a(11) = 25;
the 12th digit of the sequence is 2 and 2 is not a divisor of a(12) = 27;
etc.


CROSSREFS

Cf. A306311 [where the nth digit of the sequence IS a divisor of a(n)].
Sequence in context: A040522 A040521 A040524 * A253253 A225003 A040525
Adjacent sequences: A306371 A306372 A306373 * A306375 A306376 A306377


KEYWORD

base,nonn


AUTHOR

Eric Angelini and JeanMarc Falcoz, Feb 11 2019


STATUS

approved



