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A004760 Binary expansion does not begin 10. +0
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; listen)
OFFSET

0,3

COMMENT

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 this_sequence A093906 A152829 A104463

Adjacent sequences: A004757 A004758 A004759 this_sequence A004761 A004762 A004763

KEYWORD

nonn

AUTHOR

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

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.


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