A279343 a(1) = 0, and for n > 1, if A079559(n) = 0, a(n) = 1 + 2*a(A256992(n)), otherwise a(n) = 2*a(A256992(n)).

0, 1, 2, 4, 3, 5, 8, 6, 9, 10, 16, 7, 11, 17, 12, 18, 13, 20, 32, 19, 21, 14, 22, 33, 34, 24, 15, 23, 35, 25, 36, 26, 37, 40, 64, 27, 41, 38, 42, 65, 28, 44, 39, 43, 29, 66, 68, 45, 48, 30, 67, 69, 46, 70, 49, 50, 72, 31, 47, 71, 51, 73, 52, 74, 53, 80, 128, 75, 81, 54, 82, 129, 76, 84, 55, 83, 77, 130, 56, 85, 88, 78, 131, 57, 86

Offset: 1

Author

Antti Karttunen, Dec 10 2016

Keywords

• nonn

Comments

Note the indexing: the domain starts from 1, while the range includes also zero.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..8192
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Inverse: A279344.

Cf. A000120, A070939, A079559, A256992, A256993, A279346.

Related or similar permutations: A054429, A156552, A279338, A279341, A279347.

Programs

Scheme

(definec (A279343 n) (cond ((= 1 n) 0) ((zero? (A079559 n)) (+ 1 (* 2 (A279343 (A256992 n))))) (else (* 2 (A279343 (A256992 n))))))

Formula

a(1) = 0, and for n > 1, if A079559(n) = 0 [when n is a term of A055938], a(n) = 1 + 2*a(A256992(n)), otherwise a(n) = 2*a(A256992(n)).

As a composition of other permutations:

a(n) = A054429(A279341(n)).

a(n) = A279341(A279347(n)).

a(n) = A156552(A279338(n)).

Other identities. For all n >= 1:

A000120(a(n)) = A279346(n).

For all n >= 2, A070939(a(n)) = A256993(n).