A264978 Self-inverse permutation of nonnegative integers: a(n) = A263273(8*n)/8.

0, 1, 2, 3, 8, 5, 6, 7, 4, 9, 10, 17, 24, 26, 14, 15, 23, 11, 18, 29, 20, 21, 25, 16, 12, 22, 13, 27, 28, 19, 30, 71, 44, 51, 62, 35, 72, 89, 53, 78, 80, 41, 42, 68, 32, 45, 86, 59, 69, 77, 50, 33, 65, 38, 54, 83, 56, 87, 74, 47, 60, 61, 34, 63, 88, 52, 75, 79, 43, 48, 70, 31, 36, 85, 58, 66, 76, 49, 39, 67, 40, 81

Offset

0,3

Comments

Note that n=13 is the first point where this involution does not preserve the parity as a(13) = 26.

Links

Antti Karttunen, Table of n, a(n) for n = 0..7381

Index entries for sequences that are permutations of the natural numbers

Formula

a(n) = A263273(8*n)/8.

a(n) = A263272(4*n)/4.

a(n) = A264974(2*n)/2.

Other identities. For all n >= 0:

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

Prog

(Scheme, three different variants)
(define (A264978 n) (/ (A263273 (* 8 n)) 8))
(define (A264978 n) (/ (A263272 (* 4 n)) 4))
(define (A264978 n) (/ (A264974 (* 2 n)) 2))

Crossrefs

Cf. A263273, A263272, A264974.

Sequence in context: A100208 A277972 A222243 * A268675 A268385 A093928

Adjacent sequences: A264975 A264976 A264977 * A264979 A264980 A264981

Keyword

nonn

Author

Antti Karttunen, Dec 06 2015

Status

approved