OFFSET
1,3
COMMENTS
Also numbers whose binary indices have different lengths of runs of successive parts. A binary index of n is any position of a 1 in its reversed binary expansion. The binary indices of n are row n of A048793.
The complement is {5, 9, 10, 17, 18, 20, 21, 27, ...}.
EXAMPLE
The sequence of terms together with their binary expansions and binary indices begins:
0: 0 ~ {}
1: 1 ~ {1}
2: 10 ~ {2}
3: 11 ~ {1,2}
4: 100 ~ {3}
6: 110 ~ {2,3}
7: 111 ~ {1,2,3}
8: 1000 ~ {4}
11: 1011 ~ {1,2,4}
12: 1100 ~ {3,4}
13: 1101 ~ {1,3,4}
14: 1110 ~ {2,3,4}
15: 1111 ~ {1,2,3,4}
16: 10000 ~ {5}
19: 10011 ~ {1,2,5}
22: 10110 ~ {2,3,5}
23: 10111 ~ {1,2,3,5}
24: 11000 ~ {4,5}
25: 11001 ~ {1,4,5}
26: 11010 ~ {2,4,5}
MATHEMATICA
Select[Range[0, 100], UnsameQ@@Length/@Split[Join@@Position[Reverse[IntegerDigits[#, 2]], 1], #2==#1+1&]&]
CROSSREFS
KEYWORD
nonn
AUTHOR
Gus Wiseman, Oct 20 2019
STATUS
approved