This site is supported by donations to The OEIS Foundation.

 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!)
 A243066 Permutation of natural numbers, the even bisection of A241909 incremented by one and halved; equally, a composition of A241909 and A048673: a(n) = A048673(A241909(n)). 18
 1, 2, 5, 3, 14, 13, 41, 4, 8, 63, 122, 25, 365, 313, 38, 6, 1094, 18, 3281, 172, 188, 1563, 9842, 61, 23, 7813, 11, 1201, 29525, 123, 88574, 7, 938, 39063, 113, 39, 265721, 195313, 4688, 666, 797162, 858, 2391485, 8404, 74, 976563, 7174454, 85, 68, 88, 23438, 58825, 21523361, 28 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS For n > 1, 2n is found in A241909 from the position (2*a(n))-1. I.e., A241909((2*a(n))-1) = 2n for all n >= 2. Or in other words, a(n) gives the position in the odd bisection of A241909 where 2n is located at. Are there any other fixed points than 1, 2, 18 and 72? LINKS Antti Karttunen, Table of n, a(n) for n = 1..512 FORMULA a(1) = 1, a(n) = (A241909(2*n)+1)/2. As a composition of related permutations: a(n) = A048673(A241909(n)). a(n) = A241909(A243062(A241909(n))). For all n>=1, a(2^n) = A006254(n). PROG (Scheme, two alternatives) (define (A243066 n) (if (= n 1) 1 (/ (+ 1 (A241909 (* 2 n))) 2))) (define (A243066 n) (A048673 (A241909 n))) CROSSREFS Inverse: A243065. Cf. A048673, A241909, A243505-A243506, A244152-A244154, A243061-A243062. Sequence in context: A243506 A285742 A245612 * A181921 A282575 A002565 Adjacent sequences:  A243063 A243064 A243065 * A243067 A243068 A243069 KEYWORD nonn AUTHOR Antti Karttunen, Jun 01 2014 STATUS approved

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.

Last modified December 10 14:27 EST 2019. Contains 329896 sequences. (Running on oeis4.)