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Search: id:A121016
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| A121016 |
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Numbers whose binary expansion is properly periodic. |
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+0
1
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| 3, 7, 10, 15, 31, 36, 42, 45, 54, 63, 127, 136, 153, 170, 187, 204, 221, 238, 255, 292, 365, 438, 511, 528, 561, 594, 627, 660, 682, 693, 726, 759, 792, 825, 858, 891, 924, 957, 990, 1023, 2047, 2080, 2145, 2184, 2210, 2275, 2340, 2405, 2457, 2470, 2535
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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For example, 204=(1100 1100)_2 and 292=(100 100 100)_2 belong to the sequence, but 30=(11110)_2 can not be split into repeating periods.
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MATHEMATICA
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PeriodicQ[n_, base_] := Block[{l = IntegerDigits[n, base]}, MemberQ[ RotateLeft[l, # ] & /@ Most@ Divisors@ Length@l, l]]; Select[ Range@2599, PeriodicQ[ #, 2] &]
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CROSSREFS
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Sequence in context: A120738 A085145 A143101 this_sequence A151733 A088636 A114113
Adjacent sequences: A121013 A121014 A121015 this_sequence A121017 A121018 A121019
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KEYWORD
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base,easy,nonn
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AUTHOR
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Jacob Siehler (siehlerj(AT)wlu.edu), Sep 08 2006
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