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%I #15 Jun 11 2017 06:43:59
%S 0,1,3,2,6,7,5,4,12,13,14,10,15,11,9,8,24,25,26,28,27,29,20,30,21,22,
%T 18,31,23,19,17,16,48,49,50,52,51,53,56,54,57,58,40,55,59,41,60,42,61,
%U 44,36,43,45,62,46,37,38,34,63,47,39,35,33,32,96,97,98,100
%N Permutation of nonnegative integers obtained by entangling complementary pair A005187 & A055938 with even and odd numbers.
%C It seems that for all n, a(A000079(n)) = A003945(n).
%H Antti Karttunen, <a href="/A233275/b233275.txt">Table of n, a(n) for n = 0..8191</a>
%H Indranil Ghosh, <a href="/A233275/a233275.txt">Python Program to generate the sequence</a>
%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F a(0)=0, a(1)=1, and thereafter, if A079559(n)=1, a(n) = 2*a(A213714(n)-1), else a(n) = 1+(2*a(A234017(n))).
%F a(n) = A054429(A233277(n)). [Follows from the definitions of these sequences]
%o (Scheme, with memoizing definec-macro from _Antti Karttunen_'s IntSeq-library)
%o (definec (A233275 n) (cond ((< n 2) n) ((not (zero? (A079559 n))) (* 2 (A233275 (- (A213714 n) 1)))) (else (+ 1 (* 2 (A233275 (A234017 n)))))))
%Y Inverse permutation: A233276.
%Y Cf. also A079559, A213714, A234017, A054429.
%Y Similarly constructed permutation pairs: A135141/A227413, A232751/A232752, A233277/A233278, A233279/A233280, A003188/A006068.
%K nonn
%O 0,3
%A _Antti Karttunen_, Dec 18 2013
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