The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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). 1

%I #12 Feb 11 2019 19:05:08

%S 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,

%T 36,45,42,46,47,49,53,52,55,56,54,58,48,57,59,62,63,64,65,66,67,69,73,

%U 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

%N 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).

%C 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.

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

%H Jean-Marc Falcoz, <a href="/A306374/b306374.txt">Table of n, a(n) for n = 1..20001</a>

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

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

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

%e the 3rd digit of the sequence is 2 and 2 is not a divisor of a(3) = 3;

%e the 4th digit of the sequence is 3 and 3 is not a divisor of a(4) = 4;

%e the 5th digit of the sequence is 4 and 4 is not a divisor of a(5) = 5;

%e ...

%e the 11th digit of the sequence is 2 and 2 is not a divisor of a(11) = 25;

%e the 12th digit of the sequence is 2 and 2 is not a divisor of a(12) = 27;

%e etc.

%Y Cf. A306311 [where the n-th digit of the sequence IS a divisor of a(n)].

%K base,nonn

%O 1,1

%A _Eric Angelini_ and _Jean-Marc Falcoz_, Feb 11 2019

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 8 22:43 EDT 2024. Contains 375759 sequences. (Running on oeis4.)