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A372515
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Irregular triangle read by rows where row n lists the positions of zeros in the reversed binary expansion of n.
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5
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1, 1, 2, 2, 1, 1, 2, 3, 2, 3, 1, 3, 3, 1, 2, 2, 1, 1, 2, 3, 4, 2, 3, 4, 1, 3, 4, 3, 4, 1, 2, 4, 2, 4, 1, 4, 4, 1, 2, 3, 2, 3, 1, 3, 3, 1, 2, 2, 1, 1, 2, 3, 4, 5, 2, 3, 4, 5, 1, 3, 4, 5, 3, 4, 5, 1, 2, 4, 5, 2, 4, 5, 1, 4, 5, 4, 5, 1, 2, 3, 5, 2, 3, 5, 1, 3, 5
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,3
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LINKS
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EXAMPLE
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The reversed binary expansion of 100 is (0,0,1,0,0,1,1), with zeros at positions {1,2,4,5}, so row 100 is (1,2,4,5).
Triangle begins:
1:
2: 1
3:
4: 1 2
5: 2
6: 1
7:
8: 1 2 3
9: 2 3
10: 1 3
11: 3
12: 1 2
13: 2
14: 1
15:
16: 1 2 3 4
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MATHEMATICA
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Table[Join@@Position[Reverse[IntegerDigits[n, 2]], 0], {n, 30}]
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CROSSREFS
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Same as A368494 but with empty rows () instead of (0).
A003714 lists numbers with no successive binary indices.
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KEYWORD
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nonn,base,tabf
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AUTHOR
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STATUS
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approved
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