The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A057336

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1) Write n in binary; 2) Find run lengths of this expression; 3) Replace these as follows: 1 -> 0, 2 -> 010, 3 -> 01010, 4 -> 0101010...; 4) Remove final 0 and append an initial 1; 5) The term a(n) is the number with the obtained Zeckendorf expression.
(history; published version)

#5 by N. J. A. Sloane at Tue Aug 18 15:42:15 EDT 2020

AUTHOR

_Alex Fink (fink(AT)cadvision.com), _, Aug 27 2000

Discussion

Tue Aug 18

15:42

OEIS Server: https://oeis.org/edit/global/2874

#4 by Russ Cox at Fri Mar 30 18:35:40 EDT 2012

EXTENSIONS

More terms from _David W. Wilson (davidwwilson(AT)comcast.net), _, May 12 2001

Discussion

Fri Mar 30

18:35

OEIS Server: https://oeis.org/edit/global/202

#3 by N. J. A. Sloane at Sat Nov 10 03:00:00 EST 2007

KEYWORD

nonn,new

nonn

EXTENSIONS

More terms from David W. Wilson (davidwwilson(AT)comcast.net), May 12 2001

#2 by N. J. A. Sloane at Sat Sep 13 03:00:00 EDT 2003

KEYWORD

nonn,new

nonn

EXTENSIONS

More terms from David Wilson (davidwwilson(AT)attbicomcast.comnet), May 12 2001

#1 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

NAME

1) Write n in binary; 2) Find run lengths of this expression; 3) Replace these as follows: 1 -> 0, 2 -> 010, 3 -> 01010, 4 -> 0101010...; 4) Remove final 0 and append an initial 1; 5) The term a(n) is the number with the obtained Zeckendorf expression.

DATA

1, 2, 4, 6, 3, 7, 12, 17, 10, 5, 9, 19, 11, 20, 33, 46, 28, 16, 27, 14, 8, 15, 25, 51, 31, 18, 30, 53, 32, 54, 88, 122, 75, 45, 74, 43, 26, 44, 72, 38, 23, 13, 22, 40, 24, 41, 67, 135, 83, 50, 82, 48, 29, 49, 80, 140, 86, 52, 85, 142, 87, 143, 232, 321, 198, 121, 197, 119

OFFSET

1,2

COMMENTS

A permutation of the positive integers.

EXAMPLE

a(24) = 51 because: 1) 24 in binary is 11000 2) the run lengths are 2, 3 3) 01001010 4) 10100101 5) the Zeckendorf expression of 51 is 10100101 because 51 = 34 + 13 + 3 + 1

CROSSREFS

Inverse of A057337.

KEYWORD

nonn

AUTHOR

Alex Fink (fink(AT)cadvision.com), Aug 27 2000

EXTENSIONS

More terms from David Wilson (davidwwilson(AT)attbi.com), May 12 2001

STATUS

approved