A269376 Permutation of nonnegative integers: a(1) = 0, a(2) = 1, a(2n) = 2*a(n), a(2n+1) = 1 + 2*a(A269370(2n+1)).

0, 1, 3, 2, 5, 6, 7, 4, 15, 10, 13, 12, 31, 14, 63, 8, 9, 30, 11, 20, 127, 26, 21, 24, 255, 62, 23, 28, 25, 126, 511, 16, 1023, 18, 29, 60, 2047, 22, 27, 40, 17, 254, 4095, 52, 47, 42, 61, 48, 8191, 510, 16383, 124, 41, 46, 95, 56, 55, 50, 53, 252, 19, 1022, 32767, 32, 49, 2046, 65535, 36, 131071, 58, 125, 120

Offset

1,3

Comments

Note the indexing: Domain starts from 1, range from 0.

Links

Antti Karttunen, Table of n, a(n) for n = 1..1024

Index entries for sequences that are permutations of the natural numbers

Formula

a(1) = 0, a(2) = 1, a(2n) = 2*a(n), a(2n+1) = 1 + 2*a(A269370(2n+1)).

As a composition of related permutations:

a(n) = A269386(A260741(n)).

Prog

(Scheme, with memoization-macro definec)
(definec (A269376 n) (cond ((<= n 2) (- n 1)) ((even? n) (* 2 (A269376 (/ n 2)))) (else (+ 1 (* 2 (A269376 (A269370 n)))))))

Crossrefs

Inverse: A269375.

Cf. A269370.

Related permutation: A269378.

Cf. also A252756, A269386.

Sequence in context: A334999 A154437 A305428 * A257793 A302717 A277820

Adjacent sequences: A269373 A269374 A269375 * A269377 A269378 A269379

Keyword

nonn

Author

Antti Karttunen, Mar 01 2016

Status

approved