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Self-inverse permutation of natural numbers: a(n) = A250470(A263273(A250469(n))).
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%I #11 Jan 09 2016 16:08:19

%S 1,2,5,4,3,8,17,6,13,10,11,20,9,14,71,22,7,26,19,12,23,16,21,24,41,18,

%T 53,28,31,56,29,38,107,58,67,74,61,32,197,40,25,68,59,50,137,64,73,62,

%U 49,44,227,76,27,80,55,30,89,34,43,66,37,48,91,46,69,60,35,42,65,70,15,78,47,36,119,52

%N Self-inverse permutation of natural numbers: a(n) = A250470(A263273(A250469(n))).

%H Antti Karttunen, <a href="/A266403/b266403.txt">Table of n, a(n) for n = 1..6560</a>

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

%F a(n) = A250470(A263273(A250469(n))).

%F As a composition of related permutations:

%F a(n) = A266415(A266645(n)) = A266646(A266416(n)).

%F a(n) = A250472(A264996(A250471(n))).

%F Other identities. For all n >= 0:

%F A000035(a(n)) = A000035(n). [This permutation preserves the parity of n.]

%o (Scheme) (define (A266403 n) (A250470 (A263273 (A250469 n))))

%Y Cf. A000035, A250469, A250470, A263273.

%Y Cf. A265369, A265904, A266190, A266401 (other conjugates or similar derivations of A263273).

%Y Cf. also A250471, A250472, A264996, A266404, A266415, A266416, A266645, A266646.

%K nonn,base

%O 1,2

%A _Antti Karttunen_, Jan 02 2016