A264995 Bijective base-5 reverse: a(0) = 0; for n >= 1, a(n) = A030104(A132739(n)) * A060904(n).

0, 1, 2, 3, 4, 5, 6, 11, 16, 21, 10, 7, 12, 17, 22, 15, 8, 13, 18, 23, 20, 9, 14, 19, 24, 25, 26, 51, 76, 101, 30, 31, 56, 81, 106, 55, 36, 61, 86, 111, 80, 41, 66, 91, 116, 105, 46, 71, 96, 121, 50, 27, 52, 77, 102, 35, 32, 57, 82, 107, 60, 37, 62, 87, 112, 85, 42, 67, 92, 117, 110, 47, 72, 97, 122, 75, 28, 53, 78, 103, 40, 33

Offset: 0

Author

Antti Karttunen, Dec 07 2015

Keywords

• nonn
• base

Comments

Self-inverse permutation of nonnegative integers.

Links

• Antti Karttunen, Table of n, a(n) for n = 0..15625
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Cf. A010873, A030104, A060904, A132739.

Cf. similar sequences A057889 (base-2), A263273 (base-3), A264994 (base-4), A264979 (base-9).

Programs

Scheme

(define (A264995 n) (if (zero? n) n (* (A030104 (A132739 n)) (A060904 n))))

Formula

a(0) = 0; for n >= 1, a(n) = A030104(A132739(n)) * A060904(n).

Other identities. For all n >= 0:

a(5*n) = 5*a(n).

A010873(a(n)) = 0 if and only if A010873(n) = 0 and it also seems that A010873(a(n)) = A010873(n) for all n.