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A227352 Permutation of nonnegative integers: map each number by lengths of runs in its binary representation to the number in whose once left-shifted Zeckendorf representation occurs the same run lengths (in the same order) as the lengths of consecutive blocks of zeros.

%I A227352 #15 Jul 29 2013 05:00:08
%S A227352 0,1,4,2,7,12,6,3,11,19,33,20,10,17,9,5,18,30,51,31,54,88,53,32,16,27,
%T A227352 46,28,15,25,14,8,29,48,80,49,83,135,82,50,87,142,232,143,86,140,85,
%U A227352 52,26,43,72,44,75,122,74,45,24,40,67,41,23,38,22,13,47,77
%N A227352 Permutation of nonnegative integers: map each number by lengths of runs in its binary representation to the number in whose once left-shifted Zeckendorf representation occurs the same run lengths (in the same order) as the lengths of consecutive blocks of zeros.
%C A227352 See the comments at the inverse permutation A227351 where the idea behind this mapping is explained.
%H A227352 Antti Karttunen, <a href="/A227352/b227352.txt">Table of n, a(n) for n = 0..8192</a>
%H A227352 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F A227352 a(n) = A048680(A003188(n)). [The defining formula]
%F A227352 Moreover, this permutation effects the following correspondences:
%F A227352 For n>=1 A000523(n) = A102364(a(n)).
%F A227352 For all n, A167489(n) = A227355(a(2n+1)).
%o A227352 (Scheme) (define (A227352 n) (A048680 (A003188 n)))
%Y A227352 Inverse permutation: A227351. Cf. A048680, A003188.
%K A227352 nonn,base
%O A227352 0,3
%A A227352 _Antti Karttunen_, Jul 08 2013