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

Author

John-Vincent Saddic, Jun 21 2021

Keywords

• nonn
• look

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).

Examples

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

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

Crossrefs

Cf. A061419, A205083, A344792.

Programs

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<Kevin Ryde, Jul 10 2021

Formula

a(A344792(n)) = n.