A276444 Permutation of natural numbers: a(1) = 1; a(A001969(1+n)) = A088359(a(n)), a(A000069(1+n)) = A087686(1+a(n)), where A088359 & A087686 = numbers that occur only once & more than once in A004001, and A000069 & A001969 are odious & evil numbers.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 11, 14, 15, 13, 16, 17, 18, 21, 19, 24, 27, 22, 20, 26, 30, 25, 31, 28, 23, 29, 32, 33, 34, 38, 35, 42, 48, 39, 36, 45, 54, 43, 58, 49, 40, 51, 37, 47, 57, 46, 62, 55, 44, 56, 63, 59, 50, 60, 41, 53, 61, 52, 64, 65, 66, 71, 67, 76, 86, 72, 68, 80, 96, 77, 106, 87, 73, 90, 69, 83, 102, 81

Offset

1,2

Links

Antti Karttunen, Table of n, a(n) for n = 1..8191

Index entries for sequences related to binary expansion of n

Index entries for sequences that are permutations of the natural numbers

Formula

a(1) = 1, and for n > 1, if A010060(n) = 0 [when n is one of the evil numbers, A001969], a(n) = A088359(a(A245710(n))), otherwise a(n) = A087686(1+a(A115384(n)-1)).

As a composition of other permutations:

a(n) = A276442(A006068(n)).

Prog

(Scheme)
(definec (A276444 n) (cond ((< n 2) n) ((zero? (A010060 n)) (A088359 (A276444 (A245710 n)))) (else (A087686 (+ 1 (A276444 (- (A115384 n) 1)))))))

Crossrefs

Inverse: A276443.

Cf. A000069, A001969, A004001, A010060, A087686, A088359, A115384, A245710.

Similar or related permutations: A006068, A276442, A276446.

Sequence in context: A287929 A287928 A085516 * A276443 A239139 A228723

Adjacent sequences: A276441 A276442 A276443 * A276445 A276446 A276447

Keyword

nonn,base

Author

Antti Karttunen, Sep 03 2016

Status

approved