A331342 - OEIS

%I #21 Feb 19 2020 08:45:07

%S 23,43,34,54,57,58,53,46,69,59,29,37,74,38,73,49,79,47,68,56,76,86,89,

%T 223,389,247,377,67,257,367,269,97,27,397,227,439,233,379,293,343,323,

%U 289,347,277,359,253,83,229,259,353,283,329,337,87,249,239,94,338,334,78,346,98,457,479,634,477,638

%N Lexicographically earliest sequence of distinct terms a(n) indivisible by all of their digits that become divisible by all of their digits when a(n+1) is added to a(n).

%C Is this sequence a reordering of A038772?

%H Jean-Marc Falcoz, <a href="/A331342/b331342.txt">Table of n, a(n) for n = 1..20001</a>

%e a(1) = 23 is not divisible by 2 and not divisible by 3. When a(2) = 43 is added to a(1) = 23, the result (66) is divisible by all its digits.

%e a(2) = 43 is not divisible by 4 and not divisible by 3. When a(3) = 34 is added to a(2) = 43, the result (77) is divisible by all its digits.

%e a(3) = 34 is not divisible by 3 and not divisible by 4. When a(4) = 54 is added to a(3) = 34, the result (88) is divisible by all its digits.

%e a(4) = 54 is not divisible by 5 and not divisible by 4. When a(5) = 57 is added to a(4) = 54, the result (111) is divisible by all its digits.

%e a(5) = 57 is not divisible by 5 and not divisible by 7. When a(6) = 58 is added to a(5) = 57, the result (115) is divisible by all its digits....

%Y Cf. A038772, A034838.

%K base,nonn

%O 1,1

%A _Eric Angelini_ and _Jean-Marc Falcoz_, Jan 14 2020