cp's OEIS Frontend

A243357 Lexicographically earliest sequence of integers with property that if a vertical line is drawn between any pair of adjacent digits, the number Z formed by the digits to the left of the line is divisible by the final digit of Z.

%I A243357 #72 Jul 06 2014 13:44:31
%S A243357 1,2,3,5,11,12,4,8,7,13,6,9,15,17,16,21,22,23,24,25,26,31,28,27,51,52,
%T A243357 32,41,53,33,35,55,36,39,61,29,62,19,63,57,64,42,44,37,56,45,65,111,
%U A243357 112,48,66,91,113,68,43,92,46,69,93,115,116,81,95,121,96,82,119,99,122,49,71,124,84,47,72,85,67,75,59,123,117,77,73,125
%N A243357 Lexicographically earliest sequence of integers with property that if a vertical line is drawn between any pair of adjacent digits, the number Z formed by the digits to the left of the line is divisible by the final digit of Z.
%C A243357 Apart from numbers containing the digit zero, the first numbers that cannot appear as terms are 14, 18, 34, 38, 54, 58, 74, 78, 94, 98, 114, 118, 134, 138, 141, 142, 143, 144, 145, 146, 147, 148, 149, 154, 158, 174, ... (see A244033, A244034). - _Giovanni Resta_, Jun 25 2014; Jun 26 2014
%D A243357 Eric Angelini, Posting to Sequence Fans Mailing List, Jun 24 2014
%H A243357 Giovanni Resta, <a href="/A243357/b243357.txt">Table of n, a(n) for n = 1..10000</a>
%H A243357 Giovanni Resta, <a href="http://www.numbersaplenty.com/data/A243357.zip">First 10^6 terms (2.2 MB zip file)</a>
%e A243357 1 / 1 = 1
%e A243357 12 / 2 = 6
%e A243357 123 / 3 = 41
%e A243357 1235 / 5 = 247
%e A243357 12351 / 1 = 12351
%e A243357 123511 / 1 = 123511
%e A243357 1235111 / 1 = 1235111
%e A243357 12351112 / 2 = 6175556
%e A243357 123511124 / 4 = 30877781
%e A243357 1235111248 / 8 = 154388906 ...
%Y A243357 Cf. A244033, A244034.
%Y A243357 A244471 and A244496 are sister sequences.
%K A243357 nonn,base,look
%O A243357 1,2
%A A243357 _N. J. A. Sloane_, Jun 25 2014