# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a180012 Showing 1-1 of 1 %I A180012 #4 Mar 31 2012 20:17:55 %S A180012 1,9,9,3,9,9,3,9,9,1,99,9,9,9,9,9,9,9,6,9,54,6,9,9,6,9,9,4,9,9,33,36, %T A180012 99,3,9,9,3,9,9,3,27,27,24,99,9,5,9,9,9,9,63,6,27,45,2,9,9,9,9,9,33, %U A180012 18,18,5,18,99,3,9,9,3,72,45,7,18,18,15,99,9,9,9,63,5,27,18,6,27,36,15,9,9,11 %N A180012 a(n) = smallest k >= 1 such that k and k*n have the same digit sum. %H A180012 D. W. Wilson, Table of n, a(n) for n=1..10000 %e A180012 For all 1 < k < 99, k and 11*k have distinct digit sum. 99 and 99*11 = 1089 have the same digit sum 18. Therefore a(11) = 99. %K A180012 base,easy,nonn %O A180012 1,2 %A A180012 _David W. Wilson_, Aug 06 2010 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE