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A209861 Permutation of nonnegative integers which maps A209641 to A209642. 13

%I #18 Aug 11 2015 09:17:16

%S 0,1,2,3,4,5,6,7,8,9,10,12,11,13,14,15,16,17,18,21,19,22,24,27,20,23,

%T 25,28,26,29,30,31,32,33,34,38,35,39,42,48,36,40,43,49,45,51,54,58,37,

%U 41,44,50,46,52,55,59,47,53,56,60,57,61,62,63,64,65,66,71,67,72,76,86,68,73,77,87,80,90,96,106,69,74,78,88,81,91,97,107,83

%N Permutation of nonnegative integers which maps A209641 to A209642.

%C Conjecture: For all n, A209861(A054429(n)) = A054429(A209861(n)), i.e. A054429 acts as an homomorphism (automorphism) of the cyclic group generated by this permutation. This implies also a weaker conjecture given in A209860.

%C The scatterplot graph of the sequence has a nice texture and interesting pattern.

%H Antti Karttunen, <a href="/A209861/b209861.txt">Table of n, a(n) for n = 0..32767</a>

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

%F a(n) = A209640(A209642(n)).

%Y Inverse permutation: A209862. Cf. A209860, A209863, A209864, A209865, A209866, A209867, A209868.

%K nonn,look

%O 0,3

%A _Antti Karttunen_, Mar 24 2012

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