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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 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 A341811 A332306 Adjacent sequences:  A243062 A243063 A243064 * A243066 A243067 A243068 KEYWORD nonn AUTHOR Antti Karttunen, Jun 01 2014 STATUS approved

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Last modified September 17 16:32 EDT 2021. Contains 347487 sequences. (Running on oeis4.)