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Permutation A057501 applied twice ("squared").
11

%I #9 Apr 16 2023 20:53:38

%S 0,1,2,3,4,6,8,7,5,9,11,14,16,19,21,22,18,17,20,13,12,10,15,23,25,28,

%T 30,33,37,39,42,44,47,51,53,56,60,58,59,62,63,64,49,50,46,45,48,55,54,

%U 57,61,35,36,32,31,34,27,26,24,29,41,40,38,43,52,65,67,70,72,75

%N Permutation A057501 applied twice ("squared").

%H A. Karttunen, <a href="http://www.iki.fi/~kartturi/matikka/Nekomorphisms/gatomorf.htm">Gatomorphisms</a> (with the complete Scheme source)

%H <a href="/index/Per#IntegerPermutationCatAuto">Index entries for signature-permutations induced by Catalan automorphisms</a>

%F a(n) = A057501(A057501(n)).

%Y Inverse of A082316. a(n) = A082313(A057164(n)). Occurs in A073200 as row 34359740687. Cf. also A082317-A082324.

%Y Number of cycles: A054357. (In range [A014137(n-1)..A014138(n-1)] of this permutation, possibly shifted one term left or right).

%K nonn

%O 0,3

%A _Antti Karttunen_, Apr 17 2003, Proposed by _Wouter Meeussen_.