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A336759
a(n) is the smallest positive number that is the sum of no fewer than n distinct repdigits.
0
1, 10, 21, 309, 2108, 21996, 220884, 2111105, 21866660
OFFSET
1,2
COMMENTS
Conjecture: the sequence is infinite.
EXAMPLE
10 is the sum of 2 distinct repdigits: 9 + 1
21 is the sum of 3 distinct repdigits: 11 + 9 + 1
309 is the sum of 4 distinct repdigits: 222 + 77 + 9 + 1
2108 is the sum of 5 distinct repdigits: 1111 + 888 + 99 + 9 + 1
All numbers less than 10 can be summed with less than 2 distinct repdigits.
All numbers less than 21 can be summed with less than 3 distinct repdigits.
CROSSREFS
Sequence in context: A041833 A153317 A110418 * A368635 A336748 A041198
KEYWORD
nonn,base,more
AUTHOR
Falcon Shapiro, Aug 03 2020
EXTENSIONS
a(7)-a(9) from Sean A. Irvine, Aug 29 2020
STATUS
approved