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A161561
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The smallest number larger than n with digital sum equal to n.
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0
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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
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1,1
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LINKS
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FORMULA
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EXAMPLE
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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.
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MATHEMATICA
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dsn[n_]:=Module[{k=n+1}, While[Total[IntegerDigits[k]]!=n, k++]; k]; Array[ dsn, 50] (* Harvey P. Dale, Oct 24 2020 *)
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PROG
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(PARI) a(n) = my(m = n+1); while(sumdigits(m) != n, m++); m; \\ Michel Marcus, Jun 08 2014
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CROSSREFS
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KEYWORD
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base,easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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