A328869 Numbers whose lengths of runs of 1's in their reversed binary expansion are weakly increasing.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 20, 21, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 37, 40, 41, 42, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 72, 73, 74, 80, 81, 82, 84, 85, 96, 97, 98, 99

Offset

1,2

Links

Table of n, a(n) for n=1..67.

Example

The sequence of terms together with their reversed binary expansions begins:
   1: (1)
   2: (01)
   3: (11)
   4: (001)
   5: (101)
   6: (011)
   7: (111)
   8: (0001)
   9: (1001)
  10: (0101)
  12: (0011)
  13: (1011)
  14: (0111)
  15: (1111)
  16: (00001)
  17: (10001)
  18: (01001)
  20: (00101)
  21: (10101)
  24: (00011)

Mathematica

Select[Range[100], LessEqual@@Length/@Split[Join@@Position[Reverse[IntegerDigits[#, 2]], 1], #2==#1+1&]&]

Crossrefs

Complement of A328870.

The version for prime indices is A304678.

The binary expansion of n has A069010(n) runs of 1's.

Cf. A000120, A003714, A014081, A112769, A164707, A245563, A328592.

Sequence in context: A231238 A231239 A335523 * A004744 A171987 A332111

Adjacent sequences: A328866 A328867 A328868 * A328870 A328871 A328872

Keyword

nonn

Author

Gus Wiseman, Nov 12 2019

Status

approved