

A230624


Numbers n with property that for every base b >= 2, there is a number m such that m+s(m) = n, where s(m) = sum of digits in baseb expansion of m.


1



0, 2, 10, 14, 22, 38, 62, 94, 158, 206, 318, 382, 478, 606, 766, 958, 1022, 1534, 1662, 1726, 1790, 1918, 1982, 2238, 2622, 2686, 3006, 3262, 3582, 3966, 4734, 5118, 5374, 5758, 5886, 6782, 8830, 9342, 9470, 9598, 10878, 12926, 13182, 13438, 14718, 18686, 22526
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,2


COMMENTS

It may not be known if this sequence is infinite.
The terms 10 through 206 are all twice primes.


LINKS

Lars Blomberg, Table of n, a(n) for n = 1..90, terms < 10^6
Cai, Tianxin, On kselfnumbers and universal generated numbers, Fibonacci Quart. 34 (1996), no. 2, 144146. MR1386983 (97c:11008)
Index entries for Colombian or self numbers and related sequences


EXAMPLE

10 is a member because in base 2, 7=111, 7+3=10; in base 3, 7=21, 7+3=10; in base 4, 8=20, 8+2=10; in base 5, 7=12, 7+3=10; and in bases b >= 6, 5+5=10.


CROSSREFS

Sequence in context: A032384 A032624 A091999 * A290143 A160773 A217191
Adjacent sequences: A230621 A230622 A230623 * A230625 A230626 A230627


KEYWORD

nonn,base


AUTHOR

N. J. A. Sloane, Oct 27 2013


EXTENSIONS

More terms from Lars Blomberg, Oct 12 2015


STATUS

approved



