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A084483 If the rightmost block of zeros in binary representation of n has an even length, then delete one 0, otherwise insert one 0 in this block. 3
1, 4, 3, 2, 9, 12, 7, 16, 5, 20, 19, 6, 25, 28, 15, 8, 33, 36, 11, 10, 41, 44, 39, 48, 13, 52, 51, 14, 57, 60, 31, 64, 17, 68, 67, 18, 73, 76, 23, 80, 21, 84, 83, 22, 89, 92, 79, 24, 97, 100, 27, 26, 105, 108, 103, 112, 29, 116, 115, 30, 121, 124, 63, 32, 129 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(a(n))=n, self-inverse permutation of natural numbers;

a(n) = n iff n = 2^k - 1, k>0;

-1<=A023416(a(n))-A023416(n)<=1; A000120(a(n))=A000120(n); -1<=A070939(a(n))-A070939(n)<=1.

LINKS

Table of n, a(n) for n=1..65.

Index entries for sequences that are permutations of the natural numbers

FORMULA

a(2n+1) = 2a(n)+1, a(4n+2) = 8n+4, a(4n) = 2n(4-3*A035263(n)). - Ralf Stephan, Oct 09 2003

EXAMPLE

n=43 in binary 101011: insert a 0 in the rightmost block of zeros

consisting of one (odd!) 0: 1010011 -> 83=a(43);

n=41 in binary 101001: delete a 0 from the rightmost block of

zeros consisting of two (even!) 0's: 10101 -> 21=a(41).

CROSSREFS

Cf. A084484(n)=A007088(a(n)).

Sequence in context: A273991 A292828 A020703 * A266150 A276612 A058509

Adjacent sequences:  A084480 A084481 A084482 * A084484 A084485 A084486

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, May 27 2003

STATUS

approved

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Last modified January 23 02:38 EST 2019. Contains 319365 sequences. (Running on oeis4.)