A347758 Let s(k) be the finite permutation associated to A109299(k); s(a(n)) is the inverse of s(n).

1, 2, 3, 4, 5, 7, 6, 8, 9, 10, 11, 13, 12, 14, 15, 19, 18, 17, 16, 21, 20, 23, 22, 24, 25, 28, 29, 26, 27, 30, 31, 32, 33, 34, 35, 39, 38, 37, 36, 42, 41, 40, 46, 44, 48, 43, 47, 45, 53, 54, 55, 52, 49, 50, 51, 58, 61, 56, 60, 59, 57, 63, 62, 65, 64, 66, 68

Offset

1,2

Comments

This sequence is a self-inverse permutation of the positive integers.

Links

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Rémy Sigrist, PARI program for A347758

Index entries for sequences that are permutations of the natural numbers

Example

For n = 42:
- A109299(42) = 2^5 * 3^3 * 5^4 * 7^1 * 11^2,
- so s(42) = [5, 3, 4, 1, 2],
- and s(a(42)) = [4, 5, 2, 3, 1],
- and A347752(a(42)) = 2^4 * 3^5 * 5^2 * 7^3 * 11^1 = A109299(40),
- hence a(42) = 40.

Prog

(PARI) See Links section.

Crossrefs

Cf. A109299, A347759.

Sequence in context: A130988 A069769 A307747 * A154439 A154440 A371959

Adjacent sequences: A347755 A347756 A347757 * A347759 A347760 A347761

Keyword

nonn,look

Author

Rémy Sigrist, Sep 12 2021

Status

approved