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A336748 a(n) is the smallest number that is the sum of at least n repdigits (not necessary distinct) but not of any fewer. 1
1, 10, 21, 320, 2219, 32218, 332217, 3332216, 33332215 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

I believe the sequence is infinite.

a(10) exists and is <= 333332214.

LINKS

Table of n, a(n) for n=1..9.

EXAMPLE

1      is the sum of 1 repdigit: 1;

10     is the sum of 2 repdigits: 9      + 1;

21     is the sum of 3 repdigits: 11     + 9     + 1;

320    is the sum of 4 repdigits: 222    + 88    + 9    + 1;

2219   is the sum of 5 repdigits: 1111   + 999   + 99   + 9   + 1;

32218  is the sum of 6 repdigits: 22222  + 8888  + 999  + 99  + 9  + 1;

332217 is the sum of 7 repdigits: 222222 + 99999 + 8888 + 999 + 99 + 9 + 1.

All numbers less than 10 can be summed with less than 2 repdigits.

All numbers less than 21 can be summed with less than 3 repdigits. etc.

CROSSREFS

Cf. A000325 (binary analog, see A100661), A010785.

Sequence in context: A153317 A110418 A336759 * A041198 A035318 A039821

Adjacent sequences:  A336745 A336746 A336747 * A336749 A336750 A336751

KEYWORD

nonn,base,more

AUTHOR

Falcon Shapiro, Aug 02 2020

EXTENSIONS

a(8) from Jinyuan Wang, Aug 03 2020

a(9) from David A. Corneth, Aug 03 2020

STATUS

approved

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Last modified August 14 10:58 EDT 2022. Contains 356116 sequences. (Running on oeis4.)