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A336301
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Binary sequence of itself (minus signs are delimiters, see the Comments section for explanations).
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1
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0, -1, -3, 1, -5, -7, 2, 3, -9, 5, 7, -11, 4, -13, 9, -15, 6, 8, 11, -17, 10, 13, -19, 15, 17, -21, -23, -25, 12, 14, -27, -29, 19, -31, 16, 18, 21, -33, -35, 20, 23, -37, 25, 22, -39, 24, 26, 28, -41, -43, -45, -47, 27, 29, -49, -2, -51, -53, 31, -55, -57, 30, 32, 33, -59, -61, 34, 35, -63, -65, 37, 39, -67, 36, -69, -71, 38, -73, 41, -75, 40
(list;
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refs;
listen;
history;
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internal format)
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OFFSET
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1,3
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COMMENTS
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Replace all even terms by a 0, odd terms by a 1. Consider now the minus signs as chunks' delimiters of concatenated 1's and 0's. The successive chunks are the binary equivalents of the sequence's term. This is the lexicographically earliest sequence having this property.
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LINKS
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EXAMPLE
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The sequence starts (plus signs added for readability):
0,-1,-3,+1,-5,-7,+2,+3,-9,+5,+7,-11,+4,-k,...
We replace every even term by 0, every odd term by 1:
0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, ...
The former minus signs now delimit the binary chunks:
0 (1) (11) (1) (101) (111) (10) ...
Binary to decimal rebuild S:
0 1 3 1 5 7 2 ...
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CROSSREFS
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KEYWORD
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sign,base
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AUTHOR
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STATUS
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approved
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