A332818 a(n) = A108548(A003961(A332808(n))).

1, 3, 5, 9, 7, 15, 13, 27, 25, 21, 17, 45, 11, 39, 35, 81, 19, 75, 29, 63, 65, 51, 37, 135, 49, 33, 125, 117, 23, 105, 41, 243, 85, 57, 91, 225, 31, 87, 55, 189, 43, 195, 53, 153, 175, 111, 61, 405, 169, 147, 95, 99, 47, 375, 119, 351, 145, 69, 73, 315, 59, 123, 325, 729, 77, 255, 89, 171, 185, 273, 97, 675, 67, 93, 245, 261, 221, 165, 101

Offset: 1

Author

Antti Karttunen, Feb 27 2020

Keywords

• nonn
• mult

Comments

Permutation of odd numbers. Preserves prime signature.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..26921

Crossrefs

Cf. A002144, A002145, A003961, A046523, A108548, A332808.

Cf. A332819 (a left inverse).

Programs

PARI

A332818(n) = A108548(A003961(A332808(n)));

Formula

Fully multiplicative with a(2) = 3, a(A002145(n)) = A002144(n) and a(A002144(n)) = A002145(1+n), for all n >= 1.

a(n) = A108548(A003961(A332808(n))).

A332819(a(n)) = n.

A046523(a(n)) = A046523(n).