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A004760 Binary expansion does not begin 10. 27
0, 1, 3, 6, 7, 12, 13, 14, 15, 24, 25, 26, 27, 28, 29, 30, 31, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

COMMENTS

For n>=1 sequence {a(n+1)} is the minimal recursive such that A007814(a(n+1))=A007814(n). [From Vladimir Shevelev (shevelev(AT)bgu.ac.il), Apr 27 2009]

A053645(a(n)) = n-1 for n>0 . [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 20 2009]

LINKS

V. Shevelev, Several results on sequences which are similar to the positive integers [From Vladimir Shevelev (shevelev(AT)bgu.ac.il), Apr 15 2009]

FORMULA

For n>0, a(n) = 3n - 2 - A006257(n-1). - Ralf Stephan (ralf(AT)ark.in-berlin.de), Sep 16 2003

a(0) = 0, a(1) = 1, for n>0: a(2n) = 2*a(n) + 1, a(2n+1) = 2*a(n+1) . - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Feb 29 2004

For n>=2, A007814(a(n))=A007814(n-1). [From Vladimir Shevelev (shevelev(AT)bgu.ac.il), Apr 15 2009]

a(n+2)=min{m>a(n+1): A007814(m)=A007814(n+2)}; A010060(a(n+1))= 1-A010060(n). [From Vladimir Shevelev (shevelev(AT)bgu.ac.il), Apr 27 2009]

CROSSREFS

Cf. A007814 A010060 A159559 A159560 A159615 A159619 A159629 A159698 A004759 [From Vladimir Shevelev (shevelev(AT)bgu.ac.il), Apr 23 2009]

Sequence in context: A028802 A141742 A004755 * A186083 A093906 A152829

Adjacent sequences:  A004757 A004758 A004759 * A004761 A004762 A004763

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 17 14:41 EST 2012. Contains 206042 sequences.