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A070941
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Length of binary representation of 2n+1.
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5
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1, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Sequence consists of A011782(n) n+1's - Jon Perry (perry(AT)globalnet.co.uk), Apr 04 2004
For n>0: a(n) = A003314(n+1)-A003314(n) = A123753(n)-A123753(n-1). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 12 2006
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LINKS
| Index entries for sequences related to binary expansion of n
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FORMULA
| Let b(1)=1, b(n)=a(n-floor(n/2))+1, then a(n)=b(n+1). - Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 23 2002
G.f.: 1/(1-x) * (1 + Sum(k>=0, x^2^k)). - Ralf Stephan (ralf(AT)ark.in-berlin.de), Apr 15 2002
a(n) = ceil(log_2(n+1))+1 = A029837(n+1)+1. - Ralf Stephan (ralf(AT)ark.in-berlin.de), Apr 15 2002
a(n)=ceil(average of previous entries)+1 - Jon Perry (perry(AT)globalnet.co.uk), Apr 04 2004
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MATHEMATICA
| Table[IntegerLength[n, 2], {n, 1, 201, 2}] (* From Harvey P. Dale, May 17 2011 *)
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PROG
| (PARI) a(n)=length(binary(2*n+1))
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CROSSREFS
| Bisection of A070939 and also of A070940.
Sequence in context: A132983 A029133 A029128 * A061775 A080604 A029118
Adjacent sequences: A070938 A070939 A070940 * A070942 A070943 A070944
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), May 18 2002
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