The On-Line Encyclopedia of Integer Sequences (OEIS)

A205960 revision #10

A205960

Smallest odd number with digit sum equal to n.

1, 11, 3, 13, 5, 15, 7, 17, 9, 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, 499999

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OFFSET

1,2

COMMENTS

Except for a(2), a(4), a(6) and a(8), the same as A051885 (n>0).

LINKS

Arkadiusz Wesolowski, Table of n, a(n) for n = 1..1000

FORMULA

a(n+1) = A069532(n) + 1.

MATHEMATICA

e = 5; Join[Table[l = 1; While[True, a = 2*l - 1; If[Total[IntegerDigits[a]] == n, Break[]]; l++]; a, {n, 8}], Flatten[Table[i*10^j - 1, {j, e}, {i, 9}]]]

With[{ds=Table[{n, Total[IntegerDigits[n]]}, {n, 1, 600001, 2}]}, Table[ SelectFirst[ ds, #[[2]]==k&], {k, 50}]][[All, 1]] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Apr 30 2018 *)

CROSSREFS

Sequence in context: A067063 A075023 A363099 * A302556 A088262 A110406

Adjacent sequences: A205957 A205958 A205959 * A205961 A205962 A205963

KEYWORD

base,easy,nonn

AUTHOR

Arkadiusz Wesolowski, Feb 02 2012

STATUS

approved