A354616 Numbers such that every bit in its binary expansion is in a substring of length A342263(n) that appears more than once.

3, 7, 9, 10, 12, 15, 19, 21, 25, 31, 34, 36, 37, 40, 41, 42, 45, 46, 54, 56, 58, 63, 69, 73, 77, 81, 85, 89, 91, 99, 109, 127, 132, 136, 137, 141, 142, 144, 145, 146, 148, 150, 151, 153, 154, 157, 165, 166, 167, 170, 173, 175, 177, 178, 181, 182, 184, 185, 187

Offset: 1

Author

Peter Kagey, Jul 08 2022

Keywords

• base
• nonn

Comments

This list contains all terms of the form 2^n - 1 for n >= 2.

Examples

			The binary expansion of 8501 is 10000100110101, and there are A354614(8501) = 5 repeated substrings of length A342263(8501) = 3: 101, 100, 010, 001, and 000. Every bit in the binary expansion of 8501 appears in one or more of these substrings, so 8501 is in the list.
  10000100110101
  .........101..
  ...........101
  100...........
  .....100......
  ....010.......
  ..........010.
  ...001........
  ......001.....
  .000..........
  ..000.........
		

Crossrefs

Cf. A342263, A354614.