cp's OEIS Frontend

A075761 Numbers n such that there are at least 3 integers k from the set {2,3,4,5,6,7,8,9} such that the digital sum of each base k representation of n equals k.

%I A075761 #4 Oct 12 2013 15:31:16
%S A075761 13,17,19,21,25,29,31,33,37,41,57,61,65,73,85,91,121,129,133,145,169,
%T A075761 225,253,257,261,265,281,301,325,337,361,385,505,513,757,785,841,1057,
%U A075761 1081,1093,1381,1625,2080,2241,3241,4117,4377,4401,5125,8281,16416
%N A075761 Numbers n such that there are at least 3 integers k from the set {2,3,4,5,6,7,8,9} such that the digital sum of each base k representation of n equals k.
%C A075761 13, 33, 37 and 57 work for 4 bases. 85 is the only integer found that works for 5 bases: 3, 4, 5, 7 and 8.
%e A075761 91 in base 3 = 10101 and 1 + 0 + 1 + 0 + 1 = 3, which is the base. 91 in base 6 = 231 and 2 + 3 + 1 = 6, which is the base. 91 in base 7 = 160 and 1 + 6 + 0 = 7, which is the base.
%K A075761 base,nonn
%O A075761 1,1
%A A075761 _Paul Lusch_, Oct 08 2002