

A234747


Selfinverse and multiplicative permutation of natural numbers, A091202conjugate of Blue code: a(n) = A091203(A193231(A091202(n))).


7



0, 1, 3, 2, 9, 5, 6, 11, 27, 4, 15, 7, 18, 13, 33, 10, 81, 19, 12, 17, 45, 22, 21, 37, 54, 25, 39, 8, 99, 43, 30, 41, 243, 14, 57, 55, 36, 23, 51, 26, 135, 31, 66, 29, 63, 20, 111, 59, 162, 121, 75, 38, 117, 61, 24, 35, 297, 34, 129, 47, 90, 53, 123, 44, 729
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OFFSET

0,3


COMMENTS

a(n) has the same prime signature as n: the permutation maps primes to primes, squares to squares, cubes to cubes, and so on.


LINKS

Antti Karttunen, Table of n, a(n) for n = 0..8191
Index to divisibility sequences
Index entries for sequences that are permutations of the natural numbers


FORMULA

a(n) = A091203(A193231(A091202(n))).
Completely multiplicative with p_i = p_{A234751(i)} (where p_i stands for the ith prime, A000040(i)), and a(x*y) = a(x)*a(y) for x, y > 0.


EXAMPLE

Example of multiplicativity: a(7)=11, a(23)=37, a(7*23) = a(161) = a(7)*a(23) = 11*37 = 407.


PROG

(Scheme) (define (A234747 n) (A091203 (A193231 (A091202 n))))


CROSSREFS

Cf. A091202, A091203, A193231, A234751.
See A234748 for a variant.
Sequence in context: A306470 A251560 A064614 * A016650 A033313 A231442
Adjacent sequences: A234744 A234745 A234746 * A234748 A234749 A234750


KEYWORD

nonn,mult,look


AUTHOR

Antti Karttunen, Dec 31 2013


STATUS

approved



