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A094510 Smallest number distinct from n, not occurring earlier and having in binary representation exactly as many ones as n. 3

%I #15 Nov 30 2014 03:29:20

%S 2,1,5,8,3,9,11,4,6,12,7,10,14,13,23,32,18,17,21,24,19,25,15,20,22,28,

%T 29,26,27,39,47,16,34,33,37,40,35,41,30,36,38,44,45,42,43,51,31,65,50,

%U 49,46,56,54,53,59,52,58,57,55,71,62,61,95,128,48,68,69,66,67,73,60

%N Smallest number distinct from n, not occurring earlier and having in binary representation exactly as many ones as n.

%C a(a(n))=n: a self-inverse permutation of natural numbers.

%H Paul Tek, <a href="/A094510/b094510.txt">Table of n, a(n) for n = 1..10000</a>

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

%H <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>

%o (Haskell)

%o import Data.List (delete)

%o a094510 n = a094510_list !! (n-1)

%o a094510_list = f 1 [1..] where

%o f x zs = g zs where

%o g (y:ys) = if y /= x && a000120 y == wt

%o then y : f (x + 1) (delete y zs) else g ys

%o wt = a000120 x

%o -- _Reinhard Zumkeller_, Nov 23 2014

%Y Cf. A094511, A007088, A000120.

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, May 06 2004

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Last modified April 25 06:42 EDT 2024. Contains 371964 sequences. (Running on oeis4.)