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A246347
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Record values in A135141.
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5
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1, 2, 4, 8, 9, 17, 19, 35, 39, 71, 79, 143, 159, 287, 319, 575, 639, 1151, 1279, 2303, 2559, 4607, 5119, 9215, 10239, 18431, 20479, 36863, 40959, 73727, 81919, 147455, 163839, 294911, 327679, 589823, 655359, 1179647, 1310719, 2359295, 2621439, 4718591, 5242879, 9437183, 10485759
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listen;
history;
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OFFSET
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1,2
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COMMENTS
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In binary, the terms of the sequence seem to follow a simple pattern:
1 = a(1)
10 = a(2)
100 = a(3)
1000 = a(4)
1001 = a(5)
10001 = a(6)
10011 = a(7)
100011 = a(8)
100111 = a(9)
1000111 = a(10)
1001111 = a(11)
10001111 = a(12)
10011111 = a(13)
100011111 = a(14)
100111111 = a(15)
...
thus the sequence seems to consist of, after 1 and 2, an interleaving of sequence A153894: 4, 9, 19, 39, 79, 159, 319, ... with the sequence A052996 from its third term onward: 8, 17, 35, 71, 143, ...
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LINKS
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FORMULA
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MATHEMATICA
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Union[FromDigits[#, 2]&/@Flatten[Table[{PadRight[{1, 0, 0}, n, 1], PadRight[ {1, 0, 0, 0}, n, 1]}, {n, 30}], 1]] (* Harvey P. Dale, May 03 2015 *)
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PROG
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CROSSREFS
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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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