A244153 Permutation of natural numbers, the odd bisection of A156552 halved; equally, a composition of A064216 and A156552: a(n) = A156552(A064216(n)).

0, 1, 2, 4, 3, 8, 16, 5, 32, 64, 9, 128, 6, 7, 256, 512, 17, 10, 1024, 33, 2048, 4096, 11, 8192, 12, 65, 16384, 18, 129, 32768, 65536, 19, 34, 131072, 257, 262144, 524288, 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

Offset: 1

Author

Antti Karttunen, Jun 27 2014

Keywords

• nonn

Comments

Note the indexing: the domain starts from 1, while the range includes also zero.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..1024
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Inverse: A244154.

Cf. A054429, A064216, A156552, A243065-A243066, A243505-A243506, A245607, A245609, A245611.

Programs

Scheme

(define (A244153 n) (A156552 (A064216 n)))

Formula

a(n) = A156552(2n+1) / 2.

As a composition of related permutations:

a(n) = A156552(A064216(n)).

a(n) = A054429(A245611(n)).