A243066 - OEIS

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)).

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

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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

Index entries for sequences that are permutations of the natural numbers

FORMULA

a(1) = 1, a(n) = (A241909(2*n)+1)/2.