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Permutation of natural numbers, the odd bisection of A156552 halved; equally, a composition of A064216 and A156552: a(n) = A156552(A064216(n)).
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%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