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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) 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.)