| 5, 10, 11, 20, 21, 22, 23, 40, 41, 42, 43, 44, 45, 46, 47, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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a(2n) = 2a(n), a(2n+1) = 2a(n) + 1 + 4[n==0].
a(n) = n + 4 * 2^floor(log2(n)) = A004756(n) + A053644(n).
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EXAMPLE
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22 in binary is 10110, so 22 is in sequence.
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PROGRAM
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(PARI) a(n)=n+4*2^floor(log(n)/log(2))
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CROSSREFS
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Cf. A004754 (10), A004755 (11), A004756 (100), A004758 (110), A004759 (111).
Cf. A004760, A053644, A062050, A076877.
Sequence in context: A136824 A136822 A120513 this_sequence A007527 A033894 A033649
Adjacent sequences: A004754 A004755 A004756 this_sequence A004758 A004759 A004760
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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Edited by Ralf Stephan (ralf(AT)ark.in-berlin.de), Oct 12 2003
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