A345671 Inverse permutation to A344792.

1, 3, 6, 2, 13, 4, 12, 27, 8, 5, 25, 54, 7, 17, 10, 24, 51, 108, 55, 15, 34, 9, 21, 48, 50, 103, 216, 109, 111, 30, 16, 69, 18, 20, 43, 96, 49, 101, 206, 26, 433, 218, 110, 223, 60, 31, 33, 138, 35, 37, 40, 42, 87, 192, 97, 99, 202, 102, 413, 52, 432, 867, 436

Offset

1,2

Comments

This is a permutation of the natural numbers.

The apparent straight line commanding the top of the log/log graph (see Links) comprises coordinates of the form (A061419(k), floor(c * 2^(k-1))) where c is 1.6939... (A205083 read as a binary fraction).

Links

Alois P. Heinz, Table of n, a(n) for n = 1..10000

John-Vincent Saddic, Log/log scatterplot

Index entries for sequences that are permutations of the natural numbers

Formula

a(A344792(n)) = n.

Example

A344792(5) = 10, a(10) = 5.

Prog

(PARI) a(n) = my(ret=0, k=0, r); n<<=1; while(n>1, [n, r]=divrem(n<<1, 3); if(r!=1, if(r, ret+=1<<k); k++)); ret+1<<k; \\ Kevin Ryde, Jul 10 2021

Crossrefs

Cf. A061419, A205083, A344792.

Sequence in context: A002516 A073807 A378524 * A090774 A147995 A351232

Adjacent sequences: A345668 A345669 A345670 * A345672 A345673 A345674

Keyword

nonn,look

Author

John-Vincent Saddic, Jun 21 2021

Status

approved