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Search: id:A153115
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| A153115 |
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Integers with the same number of 1s in base 10 and base 2. |
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+0
1
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| 1, 16, 128, 512, 1024, 1152, 2112, 4112, 8192, 16384, 16416, 16512, 131073, 131074, 131076, 131080, 131081, 131088, 131105, 131106, 131108, 131110, 131111, 131113, 131114, 131116, 131120, 131121, 131137, 131138, 131140, 131141, 131144, 131152
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Some have exactly one 1. These are exclusively of the form 2^n, but not universally. 512=1000000000b, 1 one. 2048=100000000000b but 2048 lacks a 1 digit. The smallest integer with 6 ones in both decimal and binary bases is 11011112=101010000000010000101000b.
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EXAMPLE
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a(6)=1152 because 1152 base 2 = 10010000000 and both terms have the same number of ones.
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CROSSREFS
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Sequence in context: A163399 A004017 A167471 this_sequence A138331 A008535 A008416
Adjacent sequences: A153112 A153113 A153114 this_sequence A153116 A153117 A153118
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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 18 2008
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