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URL: https://oeis.org/A244152

⇱ A244152 - OEIS

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A244152
Self-inverse permutation of natural numbers: a(1) = 1; thereafter, if n is k-th number with an odd number of prime divisors (counted with multiplicity) [i.e., n = A026424(k)], a(n) = A028260(1+a(k)), otherwise, when n is k-th number > 1 with an even number of prime divisors [i.e., n = A028260(1+k)], a(n) = A026424(a(k)).
6
1, 4, 10, 2, 24, 7, 6, 55, 18, 3, 16, 15, 121, 44, 12, 11, 39, 9, 36, 35, 105, 31, 250, 5, 29, 28, 93, 26, 25, 86, 22, 82, 238, 79, 20, 19, 81, 72, 17, 68, 218, 65, 517, 14, 62, 67, 60, 202, 195, 57, 59, 56, 185, 477, 8, 52, 50, 175, 51, 47, 177, 45, 495, 167, 42, 161, 46, 40, 162, 169, 150, 38, 143, 455, 459, 140, 153, 1060, 34, 134, 37, 32
OFFSET
1,2
FORMULA
a(1) = 1, and for n > 1, if A066829(n) = 1, then a(n) = A028260(1 + A244152(A055038(n))), otherwise a(n) = A026424(A244152(A055037(n)-1)).
For all n > 1, A008836(a(n)) = -1 * A008836(n), where A008836 is Liouville's lambda-function.
PROG
(Scheme) ;; With memoization macro definec.
(definec (A244152 n) (cond ((= 1 n) 1) ((= 1 (A066829 n)) (A028260 (+ 1 (A244152 (A055038 n))))) (else (A026424 (A244152 (-1+ (A055037 n)))))))
CROSSREFS
Similar entanglement permutations: A245603-A245604, A235491, A236854, A243347, A244319.
Sequence in context: A048870 A337840 A349305 * A070261 A367029 A054048
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jul 27 2014
STATUS
approved