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A065249 Permutation of N induced by the order-preserving permutation of the positive rational numbers (x -> x/2), positions in Stern-Brocot tree. 6

%I #6 May 01 2014 02:49:07

%S 2,8,1,32,4,11,6,128,16,35,18,5,47,24,3,512,64,131,66,17,143,72,9,21,

%T 44,23,191,96,12,27,14,2048,256,515,258,65,527,264,33,69,140,71,575,

%U 288,36,75,38,10,87,176,22,93,188,95,767,384,48,99,50,13,111,56,7,8192

%N Permutation of N induced by the order-preserving permutation of the positive rational numbers (x -> x/2), positions in Stern-Brocot tree.

%H A. Karttunen, <a href="http://www.iki.fi/~kartturi/matikka/stebrota.htm">Conjecture regarding A065249 and A065251</a>

%H <a href="/index/St#Stern">Index entries for sequences related to Stern's sequences</a>

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

%p [seq(A065249(j),j=1..120)]; A065249 := n -> frac2position_in_whole_SB_tree((SternBrocotTreeNum(n)/SternBrocotTreeDen(n))/2);

%Y Cf. A057114, A065251. Inverse permutation: A065250.

%K nonn

%O 1,1

%A _Antti Karttunen_, Oct 25 2001

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)