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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 base-b 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 k-self-numbers and universal generated numbers, Fibonacci Quart. 34 (1996), no. 2, 144--146. 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

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Last modified July 19 03:54 EDT 2019. Contains 325144 sequences. (Running on oeis4.)