A344792 -id:A344792 - cp's OEIS frontend

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

John-Vincent Saddic, Jun 21 2021

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).

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

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

Cf. A061419, A205083, A344792.

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

a(A344792(n)) = n.

A346176 Decimal expansion of A205083 read as a binary fraction.

Original entry on oeis.org

1, 6, 9, 3, 9, 4, 9, 1, 3, 7, 8, 3, 8, 0, 0, 0, 4, 0, 8, 2, 5, 3, 0, 7, 6, 9, 5, 2, 1, 7, 0, 7, 2, 1, 9, 3, 4, 8, 7, 6, 5, 7, 8, 2, 6, 7, 5, 3, 4, 4, 9, 1, 1, 1, 5, 9, 4, 7, 9, 5, 0, 3, 6, 2, 4, 0, 8, 2, 7, 1, 8, 6, 5, 9, 9, 7, 5, 9, 5, 0, 6, 7, 1, 7, 0, 6, 5, 4, 2, 8, 8, 9, 2, 4, 6, 1, 1, 7, 2, 1

Offset: 1

John-Vincent Saddic, Jul 08 2021

This constant can be used to calculate the index n of A061419(k) in A344792: n = floor(1.6939... * 2^(k-1)) for k>0.

Likewise, since A345671 is the inverse of A344792, A345671(A061419(n)) = floor(1.6939... * 2^(n-1)).

			1.693949137838000408253076952170721934876578267534491115947...

Cf. A205083, A344792, A345671.

Equals Sum_{n>=1} A205083(n)/2^(n-1).

Equals lim_{n -> infinity} (A345671(A061419(n))/2^(n-1)).

cp's OEIS Frontend

A345671 Inverse permutation to A344792.

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