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A243065 Permutation of natural numbers, the odd bisection of A241909 halved; equally, a composition of A064216 and A241909: a(n) = A241909(A064216(n)). 18
1, 2, 4, 8, 3, 16, 32, 9, 64, 128, 27, 256, 6, 5, 512, 1024, 81, 18, 2048, 243, 4096, 8192, 25, 16384, 12, 729, 32768, 54, 2187, 65536, 131072, 125, 162, 262144, 6561, 524288, 1048576, 15, 36, 2097152, 7, 4194304, 486, 19683, 8388608, 108, 59049, 1458, 16777216, 625, 33554432, 67108864, 75 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Are there any other fixed points than 1, 2, 18 and 72?

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..512

Index entries for sequences that are permutations of the natural numbers

FORMULA

a(1) = 1, and for n>=2, a(n) = A241909(2n-1)/2. Equally, a(n) = ceiling(A241909(2n-1)/2) for all n.

As a composition of related permutations:

a(n) = A241909(A064216(n)).

a(n) = A241909(A243061(A241909(n))).

For all n, a(A006254(n)) = 2^n.

PROG

(Scheme) (define (A243065 n) (A241909 (A064216 n)))

CROSSREFS

Inverse: A243066.

Cf. A064216, A241909, A243505-A243506, A244152-A244154, A243061-A243062, A006254.

Sequence in context: A277695 A317503 A243505 * A289271 A223699 A231610

Adjacent sequences:  A243062 A243063 A243064 * A243066 A243067 A243068

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jun 01 2014

STATUS

approved

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Last modified November 15 01:25 EST 2019. Contains 329143 sequences. (Running on oeis4.)