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

Author

Gus Wiseman, Nov 12 2019

Keywords

• nonn

Examples

			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)
		

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.

Programs

Mathematica

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