A362038 A list of lists where T(n,k) is the smallest n-digit number whose digits have arithmetic mean k, for 1 <= k <= 9.

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 15, 17, 19, 39, 59, 79, 99, 102, 105, 108, 129, 159, 189, 399, 699, 999, 1003, 1007, 1029, 1069, 1199, 1599, 1999, 5999, 9999, 10004, 10009, 10059, 10199, 10699, 12999, 17999, 49999, 99999, 100005, 100029, 100089

Offset

1,2

Comments

Subsequence of A061383. The sum of digits of T(n,k) is n*k and they are placed with the first at least 1 and the rest packed as small as possible.

Links

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

Example

Lists begin:
         k=1     2     3     4     5     6     7     8     9
      +-----------------------------------------------------
  n=1 |    1,    2,    3,    4,    5,    6,    7,    8,    9;
  n=2 |   11,   13,   15,   17,   19,   39,   59,   79,   99;
  n=3 |  102,  105,  108,  129,  159,  189,  399,  699,  999;
  n=4 | 1003, 1007, 1029, 1069, 1199, 1599, 1999, 5999, 9999;
        ...
T(3,7) = 399 has digit mean (3+9+9)/3 = 7.

Crossrefs

Cf. A007953, A055642, A061383.

Sequence in context: A108641 A366944 A289351 * A171550 A062895 A085869

Adjacent sequences: A362035 A362036 A362037 * A362039 A362040 A362041

Keyword

nonn,base,easy,tabf

Author

Ctibor O. Zizka, Apr 15 2023

Status

approved