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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.
0
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.
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
KEYWORD
nonn,base,easy,tabf
AUTHOR
Ctibor O. Zizka, Apr 15 2023
STATUS
approved