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Search: id:A153033
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| A153033 |
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Numbers with adjacent 1's and no adjacent 0's in binary expansion. |
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+0
2
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| 3, 6, 7, 11, 13, 14, 15, 22, 23, 26, 27, 29, 30, 31, 43, 45, 46, 47, 53, 54, 55, 58, 59, 61, 62, 63, 86, 87, 90, 91, 93, 94, 95, 106, 107, 109, 110, 111, 117, 118, 119, 122, 123, 125, 126, 127, 171, 173, 174, 175, 181, 182, 183, 186, 187, 189, 190, 191, 213, 214, 215
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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a(1)=3 because bin(3)= 11.
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MATHEMATICA
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fQ[n_] := Block[{st = Union@ Split@ IntegerDigits[n, 2]}, MemberQ[st, {1, __}] && !MemberQ[st, {0, __}]]; Select[Range@218, fQ@# &] [From Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 21 2008]
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CROSSREFS
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Sequence in context: A091067 A120511 A022550 this_sequence A076644 A087642 A084349
Adjacent sequences: A153030 A153031 A153032 this_sequence A153034 A153035 A153036
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KEYWORD
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base,easy,nonn
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AUTHOR
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Gil Broussard (gilbroussard(AT)bellsouth.net), Dec 17 2008
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EXTENSIONS
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I added the Mathematica coding and extended the sequence. Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 21 2008
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