Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A080541
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A080541 In binary representation: keep the first digit and rotate left the others. +0
3
1, 2, 3, 4, 6, 5, 7, 8, 10, 12, 14, 9, 11, 13, 15, 16, 18, 20, 22, 24, 26, 28, 30, 17, 19, 21, 23, 25, 27, 29, 31, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 64, 66, 68, 70, 72, 74, 76, 78, 80 (list; graph; listen)
OFFSET

1,2

COMMENT

Permutation of natural numbers with inverse = A080542: A080542(a(n))=a(A080542(n))=n;

let r(n,0)=n, r(n,k)=a(r(n,k-1)) for k>0, then r(n,floor(log2(n)))=n and for n>1: r(n,floor(log2(n))-1)=A080542(n).

LINKS

Index entries for sequences that are permutations of the natural numbers

EXAMPLE

a(20)=a('10100')='11000'=24; a(24)=a('11000')='10001'=17.

CROSSREFS

Cf. A053645, A000523, A007088, A080413, A080543.

Sequence in context: A085175 A130111 A104182 this_sequence A072759 A080542 A072758

Adjacent sequences: A080538 A080539 A080540 this_sequence A080542 A080543 A080544

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 20 2003

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


AT&T Labs Research