A336748 - OEIS

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, 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`

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