login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A243065 Permutation of natural numbers, the odd bisection of A241909 halved; equally, a composition of A064216 and A241909: a(n) = A241909(A064216(n)). 18

%I

%S 1,2,4,8,3,16,32,9,64,128,27,256,6,5,512,1024,81,18,2048,243,4096,

%T 8192,25,16384,12,729,32768,54,2187,65536,131072,125,162,262144,6561,

%U 524288,1048576,15,36,2097152,7,4194304,486,19683,8388608,108,59049,1458,16777216,625,33554432,67108864,75

%N Permutation of natural numbers, the odd bisection of A241909 halved; equally, a composition of A064216 and A241909: a(n) = A241909(A064216(n)).

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

%H Antti Karttunen, <a href="/A243065/b243065.txt">Table of n, a(n) for n = 1..512</a>

%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>

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

%F As a composition of related permutations:

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

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

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

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

%Y Inverse: A243066.

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

%K nonn

%O 1,2

%A _Antti Karttunen_, Jun 01 2014

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 14 17:53 EST 2019. Contains 329979 sequences. (Running on oeis4.)