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

1,1

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

Formula

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

Prog

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

Crossrefs

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

Sequence in context: A256210 A256371 A064429 * A113790 A181094 A282666

Adjacent sequences: A234748 A234749 A234750 * A234752 A234753 A234754

Keyword

nonn,look

Author

Antti Karttunen, Feb 12 2014

Status

approved