A264975 Permutation of nonnegative integers: a(n) = A264974(A263272(n)).

0, 1, 2, 3, 4, 5, 6, 19, 16, 9, 10, 7, 12, 13, 14, 15, 46, 43, 18, 55, 20, 57, 58, 17, 48, 49, 52, 27, 28, 11, 30, 31, 8, 21, 22, 25, 36, 37, 34, 39, 40, 41, 42, 127, 124, 45, 136, 47, 138, 139, 44, 129, 130, 133, 54, 163, 56, 165, 166, 59, 60, 181, 178, 171, 172, 169, 174, 175, 50, 51, 154, 151, 144, 145, 142, 147, 148, 53, 156, 157, 160, 81

Offset

0,3

Links

Antti Karttunen, Table of n, a(n) for n = 0..9841

Index entries for sequences that are permutations of the natural numbers

Formula

a(n) = A264974(A263272(n)).

a(n) = A263272(A264984(n)) / 2.

a(n) = (1/4) * A264984(A264984(n)) = (1/4) * A263273(2 * A263273(2*n)).

Other identities. For all n >= 0:

a(3*n) = 3*a(n).

A000035(a(n)) = A000035(n). [This permutation preserves the parity of n.]

Prog

(Scheme, two alternative definitions)
(define (A264975 n) (A264974 (A263272 n)))
(define (A264975 n) (/ (A263273 (* 2 (A263273 (* 2 n)))) 4))

Crossrefs

Inverse: A264976.

Cf. A000035, A263272, A263273, A264974, A264984.

Cf. also A264991, A264992.

Sequence in context: A297181 A294121 A048095 * A031015 A329581 A024639

Adjacent sequences: A264972 A264973 A264974 * A264976 A264977 A264978

Keyword

nonn,base

Author

Antti Karttunen, Dec 05 2015

Status

approved