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A328869
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Numbers whose lengths of runs of 1's in their reversed binary expansion are weakly increasing.
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1
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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
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listen;
history;
text;
internal format)
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OFFSET
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1,2
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LINKS
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EXAMPLE
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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)
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MATHEMATICA
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Select[Range[100], LessEqual@@Length/@Split[Join@@Position[Reverse[IntegerDigits[#, 2]], 1], #2==#1+1&]&]
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CROSSREFS
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The version for prime indices is A304678.
The binary expansion of n has A069010(n) runs of 1's.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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