A265338 Self-inverse permutation of nonnegative integers: a(n) = A264979(8*n) / 8.

0, 1, 8, 7, 6, 5, 4, 3, 2, 9, 10, 71, 62, 53, 44, 35, 26, 17, 72, 89, 80, 61, 52, 43, 34, 25, 16, 63, 88, 79, 70, 51, 42, 33, 24, 15, 54, 87, 78, 69, 60, 41, 32, 23, 14, 45, 86, 77, 68, 59, 50, 31, 22, 13, 36, 85, 76, 67, 58, 49, 40, 21, 12, 27, 84, 75, 66, 57, 48, 39, 30, 11, 18, 83, 74, 65, 56, 47, 38, 29, 20, 81

Offset: 0

Author

Antti Karttunen, Dec 07 2015

Keywords

• nonn
• base

Comments

It appears that A264979(m x) == 0 (mod m) for m = 2^k and m = 5*2^k, k >= 0, but not for other m. Is there a simple explanation? - M. F. Hasler, May 21 2021

Links

• Antti Karttunen, Table of n, a(n) for n = 0..7381
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Cf. A264979.

Cf. also A264978.

Programs

Scheme

(define (A265338 n) (/ (A264979 (* 8 n)) 8))

Formula

a(n) = A264979(8*n) / 8.