A234751 Self-inverse permutation of integers induced by the restriction of blue-code to irreducible polynomials over GF(2): a(n) = A091227(A193231(A014580(n))).

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, 38, 37, 34, 33, 35, 36, 30, 29, 31, 32, 28, 27, 25, 26, 24, 43, 42, 47, 46, 45, 44, 49, 48, 51, 50, 52, 54, 53, 55, 71, 69, 70, 68, 65, 64, 67, 66, 61, 60, 63, 62, 59, 57, 58, 56

Offset: 1

Author

Antti Karttunen, Feb 12 2014

Keywords

• nonn
• look

Comments

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.

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.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..2538
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

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

Programs

Scheme

(define (A234751 n) (A091227 (A234750 n)))

Formula

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