cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

User: Falcon Shapiro

Falcon Shapiro's wiki page.

Falcon Shapiro has authored 2 sequences.

A336759 a(n) is the smallest positive number that is the sum of no fewer than n distinct repdigits.

Original entry on oeis.org

1, 10, 21, 309, 2108, 21996, 220884, 2111105, 21866660
Offset: 1

Author

Falcon Shapiro, Aug 03 2020

Keywords

Comments

Conjecture: the sequence is infinite.

Examples

			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

Extensions

a(7)-a(9) from Sean A. Irvine, Aug 29 2020

A336748 a(n) is the smallest number that is the sum of at least n repdigits (not necessarily distinct) but not of any fewer.

Original entry on oeis.org

1, 10, 21, 320, 2219, 32218, 332217, 3332216, 33332215, 333332214, 3333332213
Offset: 1

Author

Falcon Shapiro, Aug 02 2020

Keywords

Comments

I believe the sequence is infinite.
a(10) exists and is <= 333332214.

Examples

			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.

Extensions

a(8) from Jinyuan Wang, Aug 03 2020
a(9) from David A. Corneth, Aug 03 2020
a(10)-a(11) from Rémy Sigrist, Aug 25 2022