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 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: A341351 A285742 A245612 * A181921 A282575 A002565 Adjacent sequences:  A243063 A243064 A243065 * A243067 A243068 A243069 KEYWORD nonn AUTHOR Antti Karttunen, Jun 01 2014 STATUS approved

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Last modified July 27 02:39 EDT 2021. Contains 346302 sequences. (Running on oeis4.)