

A161561


The smallest number larger than n with digital sum equal to n.


0



10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 29, 39, 49, 59, 69, 79, 89, 99, 199, 299, 399, 499, 599, 699, 799, 899, 999, 1999, 2999, 3999, 4999, 5999, 6999, 7999, 8999, 9999, 19999, 29999, 39999, 49999, 59999, 69999, 79999, 89999, 99999, 199999, 299999, 399999
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..48.


FORMULA

a(n) = min{k>n: A007953(k) = n}.


EXAMPLE

a(4)=13 because the sums of digits of the candidates 5 to 12 are all different from n=4, and 13 is the first candidate with sum 1+3 = n = 4.


PROG

(PARI) a(n) = my(m = n+1); while(sumdigits(m) != n, m++); m; \\ Michel Marcus, Jun 08 2014


CROSSREFS

Cf. A161551, A075360, A054750.
Sequence in context: A011531 A257946 A070839 * A307560 A007959 A102492
Adjacent sequences: A161558 A161559 A161560 * A161562 A161563 A161564


KEYWORD

base,easy,nonn


AUTHOR

Enoch Haga, Jun 13 2009


EXTENSIONS

More precise definition from R. J. Mathar, Aug 30 2010


STATUS

approved



