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.

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

Original entry on oeis.org

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

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Author

Peter Kagey, Jul 08 2022

Keywords

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

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