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%I #8 Mar 03 2016 22:48:59
%S 1,2,3,4,5,6,7,8,17,10,11,12,13,14,15,16,19,34,29,20,25,22,9,24,23,26,
%T 27,28,31,30,21,32,73,38,53,68,37,58,39,40,41,50,43,44,107,18,47,48,
%U 33,46,51,52,59,54,71,56,137,62,101,60,61,42,63,64,109,146,67,76,121,106,35,136,97,74,75,116,79,78,131,80,197
%N Permutation of natural numbers: a(1) = 1, a(2n) = 2*a(n), a(2n+1) = A268674(A269379(2n+1)).
%C This is a variant of A269356, from which it differs for the first time at n=18.
%H Antti Karttunen, <a href="/A269358/b269358.txt">Table of n, a(n) for n = 1..10000</a>
%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F a(1) = 1, after which, for even n, a(n) = 2*a(n/2) and for odd n, a(n) = A269356(n) = A268674(A269379(n)).
%F Other identities. For all n >= 1:
%F A000035(a(n)) = A000035(n). [This permutation preserves the parity of n.]
%o (Scheme, with memoization-macro definec)
%o (definec (A269358 n) (cond ((<= n 1) n) ((even? n) (* 2 (A269358 (/ n 2)))) (else (A268674 (A269379 n)))))
%Y Inverse: A269357.
%Y Cf. A000035, A268674, A269379, A269356, A269171.
%K nonn
%O 1,2
%A _Antti Karttunen_, Mar 03 2016
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