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A354614
Number of distinct substrings of length A342263(n) that appear at least twice in the binary expansion of n.
1
1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 3, 1, 2, 1, 1, 1
OFFSET
0,10
COMMENTS
Records occur at indices 0, 9, 69, 279, 8501, 17003, 49771, 136030, ...
EXAMPLE
The binary expansion of 8501 is 10000100110101. And there are a(8501) = 5 longest repeated substrings: 101, 100, 010, 001, and 000, as illustrated below.
10000100110101
.........101..
...........101
100...........
.....100......
....010.......
..........010.
...001........
......001.....
.000..........
..000.........
CROSSREFS
Cf. A342263.
Sequence in context: A183017 A183014 A030382 * A192004 A349671 A120889
KEYWORD
nonn,base
AUTHOR
Peter Kagey, Jul 08 2022
STATUS
approved