A377423 Distinct values of the number of integers between consecutive self numbers (A163139), in order of occurrence.

1, 10, 14, 27, 40, 53, 66, 79, 92, 105, 118, 100, 117, 130, 143, 156, 169, 182, 195, 208, 23, 89, 203, 220, 233, 246, 259, 272, 285, 298, 34, 78, 293, 306, 323, 336, 349, 362, 375, 388, 45, 67, 383, 396, 409, 426, 439, 452, 465, 478, 56, 473, 486, 499

Offset: 1

Author

Daniel Mondot, Oct 27 2024

Keywords

• nonn
• base

Comments

Each new value is typically found between self numbers located around 10^k, for some k.

This sequences exhibits interesting patterns, for instance, many new numbers are 13 apart.

Examples

			Between the first 2 self numbers 1 and 3, there is 1 integer. So 1 is in the sequence
The next new gap is between 9 and 20, with 10 integers, so 10 is in the sequence.
The next new gap is between 1006 and 1021, with 14 integers, so 14 is in the sequence.
		

Links

• Daniel Mondot, Table of n, a(n) for n = 1..10000
• Daniel Mondot, First self number found after a new gap value

Crossrefs

Cf. A003052, A163128, A163139, A225793, A230093, A230094, A377422, A377472, A377473.

Formula

a(n) = A377473(n)-1. - Daniel Mondot, Apr 17 2025