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A162724
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Binary Keith numbers.
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10
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1, 2, 3, 4, 8, 16, 32, 64, 128, 143, 256, 285, 512, 569, 683, 1024, 1138, 1366, 2048, 2276, 4096, 8192, 16384, 32768, 65536, 131072, 154203, 262144, 308405, 524288, 616810, 678491, 1048576, 1356981, 1480343, 2097152, 2713962, 2960686, 4194304
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OFFSET
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1,2
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COMMENTS
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See A162363. It is easy to see that every power of 2 is a binary Keith number.
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LINKS
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Table of n, a(n) for n=1..39.
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FORMULA
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Union of A162363 and the powers of 2.
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MATHEMATICA
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IsKeith2[n_Integer] := Module[{b, s}, b=IntegerDigits[n, 2]; s=Total[b]; If[s<=1, True, k=1; While[s=2*s-b[[k]]; s<n, k++ ]; s== n]]; Select[Range[3000], IsKeith2[ # ]&]
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CROSSREFS
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Sequence in context: A189740 A126294 A224912 * A140974 A118841 A102276
Adjacent sequences: A162721 A162722 A162723 * A162725 A162726 A162727
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KEYWORD
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base,nonn,changed
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AUTHOR
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T. D. Noe, Jul 11 2009
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STATUS
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approved
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