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Self-inverse permutation of integers induced by the restriction of blue-code to irreducible polynomials over GF(2): a(n) = A091227(A193231(A014580(n))).
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%I #22 Sep 03 2023 15:24:14

%S 2,1,3,5,4,6,8,7,12,14,13,9,11,10,17,18,15,16,20,19,21,23,22,41,39,40,

%T 38,37,34,33,35,36,30,29,31,32,28,27,25,26,24,43,42,47,46,45,44,49,48,

%U 51,50,52,54,53,55,71,69,70,68,65,64,67,66,61,60,63,62,59,57,58,56

%N Self-inverse permutation of integers induced by the restriction of blue-code to irreducible polynomials over GF(2): a(n) = A091227(A193231(A014580(n))).

%C This permutation is also induced when A234747 is restricted to primes: a(n) = A000720(A234747(A000040(n))) because of the way A234747 has been defined.

%C Note that each subsequence a(1)..a(A062692(j)) is closed (i.e., no cycles are leaking out) because blue code (A193231) preserves the degree of polynomials over GF(2) it operates upon.

%H Antti Karttunen, <a href="/A234751/b234751.txt">Table of n, a(n) for n = 1..2538</a>

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

%F a(n) = A091227(A234750(n)) = A091227(A193231(A014580(n))).

%o (Scheme) (define (A234751 n) (A091227 (A234750 n)))

%Y Cf. A014580, A062692, A193231, A234747, A234750.

%K nonn,look

%O 1,1

%A _Antti Karttunen_, Feb 12 2014