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.

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

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

Table of n, a(n) for n=1..51.

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

Sequence in context: A117326 A052055 A272119 * A046064 A322274 A008365

Adjacent sequences: A075758 A075759 A075760 * A075762 A075763 A075764

Keyword

base,nonn

Author

Paul Lusch, Oct 08 2002

Status

approved