A246206 Permutation of natural numbers: a(1) = 1, if A117966(n) < 0, a(n) = A014580(a(-(A117966(n)))), otherwise a(n) = A091242(a(A117966(n)-1)).

1, 2, 5, 9, 4, 13, 3, 37, 49, 64, 6, 10, 16, 81, 8, 20, 15, 351, 229, 451, 59, 11, 7, 41, 19, 73, 92, 114, 27, 36, 48, 140, 12, 53, 17, 24, 33, 69, 86, 107, 44, 170, 18, 63, 22, 410, 28, 524, 76, 271, 101, 14, 23, 687, 529, 895, 253, 25, 97, 213, 145, 333, 3413, 67, 2091, 31, 607, 103, 415, 4531, 47, 131, 87, 193, 55

Offset

1,2

Comments

Compare to the formula for A246164. However, instead of reversing binary representation, we employ here balanced ternary enumeration of integers (see A117966).

Links

Antti Karttunen, Table of n, a(n) for n = 1..231

Index entries for sequences operating on GF(2)[X]-polynomials

Index entries for sequences that are permutations of the natural numbers

Formula

a(1) = 1, and for n > 1, if A117966(n) < 0, then a(n) = A014580(a(-(A117966(n)))), otherwise a(n) = A091242(a(A117966(n)-1)).

As a composition of related permutations:

a(n) = A245702(A246208(n)).

a(n) = A246202(A246210(n)).

Prog

(Scheme, with memoization-macro definec)
(definec (A246206 n) (cond ((= 1 n) n) ((negative? (A117966 n)) (A014580 (A246206 (- (A117966 n))))) (else (A091242 (A246206 (- (A117966 n) 1))))))

Crossrefs

Inverse: A246205.

Similar or related entanglement permutations: A246164, A245702, A246202, A246208, A246210.

Cf. A014580, A091242, A117966.

Sequence in context: A336830 A065226 A118907 * A200336 A065225 A175640

Adjacent sequences: A246203 A246204 A246205 * A246207 A246208 A246209

Keyword

nonn

Author

Antti Karttunen, Aug 19 2014

Status

approved