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A336301
Binary sequence of itself (minus signs are delimiters, see the Comments section for explanations).
1
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
OFFSET
1,3
COMMENTS
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.
LINKS
EXAMPLE
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 ...
CROSSREFS
Cf. A007088.
Sequence in context: A188509 A265707 A360965 * A188146 A001607 A167433
KEYWORD
sign,base
AUTHOR
STATUS
approved