proposed

approved

editing

proposed

Cf. A244990, A244991, A244992.

Antti Karttunen: For an entanglement permutation this seems to be relative mild in its behaviour. This is because A244990 and A244991 are so evenly distributed.

Permutation of natural numbers: a(1)=1, a(2n) = A244991(a(n)), a(2n+1) = A244990(1 + +a(n)).

a(1)=1, a(2n) = A244991(a(n)), a(2n+1) = A244990(1+a(n)).

Similar entanglement permutations: A227413, A237126, A243288, A243344, A243346.

Permutation of natural numbers:: a(1)=1, a(2n) = A244991(a(n)), a(2n+1) = A244990(1 + a(n)).

For all n >= 1, A244992(a(n)) = 1 - A000035(n).

<a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>

Antti Karttunen, <a href="/A244322/b244322.txt">Table of n, a(n) for n = 1..10001</a>

(Scheme, with memoization macro definec)

(definec (A244322 n) (cond ((= 1 n) 1) ((even? n) (A244991 (A244322 (/ n 2)))) (else (A244990 (+ 1 (A244322 (/ (- n 1) 2)))))))

allocatedPermutation forof Anttinatural Karttunennumbers:

1, 2, 3, 4, 6, 5, 7, 8, 9, 11, 13, 10, 12, 15, 14, 16, 18, 17, 19, 22, 24, 25, 27, 20, 21, 23, 26, 31, 29, 30, 28, 32, 35, 34, 37, 33, 36, 40, 38, 45, 43, 47, 49, 50, 52, 55, 54, 41, 39, 44, 42, 46, 48, 51, 53, 64, 61, 60, 57, 62, 58, 59, 56, 66, 63, 69, 71, 68, 70, 75

1,2

Inverse: A244321.

allocated

nonn

Antti Karttunen, Jul 22 2014

approved

editing