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A334998 Permutation of nonnegative integers that converts A162912 into A162911. 2

%I #23 Sep 04 2020 19:46:38

%S 1,3,2,7,4,5,6,11,8,13,10,15,12,9,14,19,16,29,18,23,20,17,22,27,24,21,

%T 26,31,28,25,30,35,32,45,34,39,36,33,38,43,40,53,42,47,44,41,46,51,48,

%U 61,50,55,52,49,54,59,56,37,58,63,60,57,62

%N Permutation of nonnegative integers that converts A162912 into A162911.

%C For n > 0, A162912(a(n)) = A162911(n), as well as A162912(A054429(n)) = A162911(n). There is a self-inverse permutation, b, such that a(b(n)) = A054429(n), and a(n) = A054429(b(n)).

%H Yosu Yurramendi, <a href="/A334998/b334998.txt">Table of n, a(n) for n = 1..4095</a>

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

%o (R)

%o #

%o nmax <- 31

%o A334998 <- 1; A334999 <- 1

%o for(n in 1:31) {

%o A334998[2*n ] <- 2*A334999[n]+1

%o A334998[2*n+1] <- 2*n

%o A334999[2*n ] <- 2*n+1

%o A334999[2*n+1] <- 2*A334998[n]

%o }

%o A334998; A334999

%Y Cf. A334999 (inverse), A054429, A162911, A162912.

%K nonn

%O 1,2

%A _Yosu Yurramendi_, May 19 2020

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