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A260742 Permutation of natural numbers: a(1) = 1, for n > 1: a(n) = A255551(A260738(n), a(A260739(n))). 11

%I #8 Aug 02 2015 17:55:15

%S 1,2,3,4,7,6,9,8,5,14,13,12,15,18,11,16,21,10,19,28,17,26,25,24,31,30,

%T 35,36,33,22,27,32,29,42,39,20,37,38,47,56,43,34,49,52,41,50,51,48,61,

%U 62,23,60,63,70,45,72,77,66,57,44,67,54,71,64,123,58,69,84,65,78,73,40,55,74,83,76,75,94,103,112,101,86,79,68,91,98,59,104,87,82,93,100,89,102

%N Permutation of natural numbers: a(1) = 1, for n > 1: a(n) = A255551(A260738(n), a(A260739(n))).

%C This is a more recursed variant of A260436.

%H Antti Karttunen, <a href="/A260742/b260742.txt">Table of n, a(n) for n = 1..10104</a>

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

%F a(1) = 1, for n > 1: a(n) = A255551(A260738(n), a(A260739(n))).

%F Other identities. For all n >= 1:

%F a(A003309(n+2)) = A000959(n+1). [Maps odd Ludic numbers to Lucky numbers.]

%F a(n) = a(2n)/2. [The even bisection halved gives the sequence back.]

%o (Scheme, with memoization macro definec)

%o (definec (A260742 n) (if (<= n 1) n (A255551bi (A260738 n) (A260742 (A260739 n))))) ;; Code for A255551bi given in A255551.

%Y Inverse: A260741.

%Y Cf. A000959, A003309, A255551, A260738, A260739.

%Y Similar permutations: A260436, A250245, A250246.

%K nonn

%O 1,2

%A _Antti Karttunen_, Jul 30 2015

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Last modified May 13 19:11 EDT 2024. Contains 372522 sequences. (Running on oeis4.)