A039932 Smallest number k for which k, 2k, ... nk all contain the digit 1.

1, 51, 51, 531, 2571, 2571, 2571, 15703, 15703, 15703, 15703, 15703, 15703, 15703, 90271, 90271, 90271, 90271, 90271, 90271, 90271, 90271, 102053, 530102, 530102, 530102, 530102, 530102, 530102, 530102, 530102, 530102, 530102, 530102, 530102

Offset: 1

Author

Erich Friedman

Keywords

• nonn
• base

Comments

There are relatively few distinct terms in this sequence. The following list shows the frequencies of a(n) for n=1..2443. - Georg Fischer, Feb 21 2021

1 1

2 51

1 531

3 2571

7 15703

8 90271

1 102053

15 530102

5 4550102

1 4570102

4 4580102

49 22900501

53 134003006

93 1002003005

200 5001002003

1 5003001002

223 30005001002

1 30005002001

576 200030005001

1199 1000200030005

Examples

			a(3)=51 since 51, 102, and 153 all contain a 1.
		

Links

• Giovanni Resta, Table of n, a(n) for n = 1..2443

Crossrefs

Cf. A039933, A039934, A039935, A039936, A039937, A039938, A039939, A039940.

Extensions

More terms from Patrick De Geest, Oct 15 1999