

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.


0



13, 17, 19, 21, 25, 29, 31, 33, 37, 41, 57, 61, 65, 73, 85, 91, 121, 129, 133, 145, 169, 225, 253, 257, 261, 265, 281, 301, 325, 337, 361, 385, 505, 513, 757, 785, 841, 1057, 1081, 1093, 1381, 1625, 2080, 2241, 3241, 4117, 4377, 4401, 5125, 8281, 16416
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OFFSET

1,1


COMMENTS

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.


LINKS



EXAMPLE

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.


CROSSREFS



KEYWORD

base,nonn


AUTHOR



STATUS

approved



