A165165 - OEIS

%I #3 Mar 30 2012 18:51:45

%S 1,2,3,4,5,6,7,8,9,13,15,17,19,20,24,26,28,31,35,37,39,40,42,46,48,51,

%T 53,57,59,60,62,64,68,71,73,75,79,80,82,84,86,91,93,95,97,132,135,138,

%U 150,153,156,159,174,192,195,198,201,204,207,240,243,246,249,261,264

%N Numbers without repeated digits that yield only integers when the sum of the leftmost k digits is divided by k for all k = 1, 2, ...

%C Contains exactly 673 terms.

%H Harvey P. Dale, <a href="/A165165/b165165.txt">Table of n, a(n) for n = 1..673</a>

%e 603 is included because (1) none of its digits repeat, (2) the leftmost first digit is 6 which, divided by 1, yields an integer, (3) the sum of the leftmost 2 digits, i.e., 6+0=6, divided by 2 yields an integer, and (3) the sum of the leftmost 3 digits, i.e., 6+0+3=9, divided by 3 yields an integer.

%K base,nonn,fini

%O 1,2

%A _Harvey P. Dale_, Sep 06 2009