%I #11 Jul 31 2014 23:49:30
%S 0,1,2,4,3,8,16,5,32,64,9,128,6,7,256,512,17,10,1024,33,2048,4096,11,
%T 8192,12,65,16384,18,129,32768,65536,19,34,131072,257,262144,524288,
%U 13,20,1048576,15,2097152,66,513,4194304,36,1025,130,8388608,35,16777216,33554432,21,67108864,134217728,2049,268435456,258,67,68,24,4097,14
%N Permutation of natural numbers, the odd bisection of A156552 halved; equally, a composition of A064216 and A156552: a(n) = A156552(A064216(n)).
%C Note the indexing: the domain starts from 1, while the range includes also zero.
%H Antti Karttunen, <a href="/A244153/b244153.txt">Table of n, a(n) for n = 1..1024</a>
%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F a(n) = A156552(2n+1) / 2.
%F As a composition of related permutations:
%F a(n) = A156552(A064216(n)).
%F a(n) = A054429(A245611(n)).
%o (Scheme) (define (A244153 n) (A156552 (A064216 n)))
%Y Inverse: A244154.
%Y Cf. A054429, A064216, A156552, A243065-A243066, A243505-A243506, A245607, A245609, A245611.
%K nonn
%O 1,3
%A _Antti Karttunen_, Jun 27 2014