login
A162534
A positive integer k is included if every length of the runs of 0's and 1's in the binary representation of k divides k.
2
1, 2, 4, 5, 6, 10, 12, 16, 18, 20, 21, 22, 24, 26, 36, 38, 42, 44, 48, 50, 52, 54, 60, 65, 69, 72, 74, 76, 78, 80, 81, 82, 84, 85, 86, 87, 90, 93, 95, 100, 102, 106, 108, 114, 117, 120, 125, 126, 130, 132, 138, 144, 146, 148, 150, 154, 156, 160, 162, 164, 166, 168, 170, 172, 174, 176, 178, 180, 182, 186, 188, 190, 192, 198
OFFSET
1,2
COMMENTS
By "run" of 0's or 1's, it is meant: Think of binary k as a string of 0's and 1's. A single run of the digit b (0 or 1) is made up completely of consecutive digits all equal to b, and is bounded on its end by either the digit 1-b or the end of the string.
EXAMPLE
198 in binary is 11000110. There are two runs of two 1's each in this representation, and a run of three 0's and a run of one 0. Since 198 is divisible by each of these lengths (1,2, and 3), 198 is in the sequence.
CROSSREFS
Sequence in context: A233413 A128167 A364214 * A233193 A177911 A127092
KEYWORD
base,nonn
AUTHOR
Leroy Quet, Jul 05 2009
EXTENSIONS
More terms from Sean A. Irvine, Jan 26 2011
STATUS
approved