A161561 - OEIS

A161561

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

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

(list; graph; refs; listen; history; text; internal format)

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.

MATHEMATICA

dsn[n_]:=Module[{k=n+1}, While[Total[IntegerDigits[k]]!=n, k++]; k]; Array[ dsn, 50] (* Harvey P. Dale, Oct 24 2020 *)

PROG