cp's OEIS Frontend

A269856 Permutation of natural numbers: a(1) = 0, a(2) = 1, a(2n) = A001969(1+a(n)), a(2n+1) = A000069(1+a(A268674(2n+1))).

%I A269856 #7 Mar 07 2016 12:32:11
%S A269856 0,1,2,3,4,5,8,6,7,9,16,10,32,17,11,12,64,15,128,18,13,33,256,20,14,
%T A269856 65,19,34,512,23,1024,24,21,129,22,30,2048,257,35,36,4096,27,8192,66,
%U A269856 25,513,16384,40,28,29,31,130,32768,39,26,68,37,1025,65536,46,131072,2049,67,48,38,43,262144,258,41,45,524288,60
%N A269856 Permutation of natural numbers: a(1) = 0, a(2) = 1, a(2n) = A001969(1+a(n)), a(2n+1) = A000069(1+a(A268674(2n+1))).
%C A269856 Note the indexing: Domain starts from 1, range from 0.
%H A269856 Antti Karttunen, <a href="/A269856/b269856.txt">Table of n, a(n) for n = 1..1024</a>
%H A269856 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%H A269856 <a href="/index/Si#sieve">Index entries for sequences generated by sieves</a>
%F A269856 a(1) = 0, a(2) = 1, a(2n) = A001969(1+a(n)), a(2n+1) = A000069(1+a(A268674(2n+1))).
%F A269856 As a composition of other permutations:
%F A269856 a(n) = A003188(A252756(n)).
%o A269856 (Scheme, with memoization-macro definec)
%o A269856 (definec (A269856 n) (cond ((<= n 2) (- n 1)) ((even? n) (A001969 (+ 1 (A269856 (/ n 2))))) (else (A000069 (+ 1 (A269856 (A268674 n)))))))
%Y A269856 Inverse: A269855.
%Y A269856 Cf. A000069, A001969, A268674.
%Y A269856 Related or similar permutations: A003188, A252756, A269852.
%K A269856 nonn
%O A269856 1,3
%A A269856 _Antti Karttunen_, Mar 07 2016