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Permutation of natural numbers: composition of permutations A057163 & A082356.
14

%I #8 Mar 31 2012 14:02:19

%S 0,1,3,2,8,7,5,4,6,22,21,18,17,20,13,12,10,9,11,19,16,15,14,64,63,59,

%T 58,62,50,49,46,45,48,61,57,55,54,36,35,32,31,34,27,26,24,23,25,33,30,

%U 29,28,60,56,47,44,53,52,43,41,40,51,42,38,37,39,196,195,190,189,194

%N Permutation of natural numbers: composition of permutations A057163 & A082356.

%C This is the signature-permutation of Catalan automorphism which is derived from nonrecursive Catalan automorphism *A123496 with the recursion schema FORK (defined in A122201). - _Antti Karttunen_, Oct 11 2006

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

%F a(n) = A057163(A082356(n))

%o (Scheme function, destructive implementation of this automorphism acting on S-expressions:) (define *A082358! (!FORK *A123496!)) - _Antti Karttunen_, Oct 11 2006

%Y Inverse of A082357. Cf. also A082359-A082360.

%Y See the Wolframesque plots of A122242 and A122245.

%Y Row 65796 of table A122201.

%K nonn

%O 0,3

%A _Antti Karttunen_, Apr 17 2003