A264966 Permutation of nonnegative integers: a(n) = A057889(A263273(n)).

0, 1, 2, 3, 4, 7, 6, 5, 8, 9, 10, 25, 12, 11, 26, 21, 16, 19, 18, 13, 20, 15, 14, 29, 24, 17, 22, 27, 28, 59, 30, 41, 64, 39, 58, 73, 36, 31, 46, 57, 40, 97, 66, 35, 100, 63, 34, 47, 48, 53, 98, 105, 44, 121, 54, 23, 56, 33, 50, 65, 60, 61, 82, 45, 32, 55, 42, 37, 68, 81, 38, 89, 72, 49, 62, 51, 52, 113, 114, 43, 80, 69

Offset: 0

Author

Antti Karttunen, Dec 05 2015

Keywords

• nonn
• base

Comments

Perform an adjusted reverse of n in base 3, followed by another adjusted reverse in base 2. "Adjusted reverse" here means a digit-reversing operation where the suffix of trailing zeros (in the base in question) stays as it is at the right side, and only the section from the most significant digit to the least significant nonzero digit is reversed.

Links

• Antti Karttunen, Table of n, a(n) for n = 0..10000
• Indranil Ghosh, Python program to generate the sequence
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Inverse: A264965.

Cf. A000035, A057889, A263273.

Cf. also A264967, A264968.

Programs

Scheme

(define (A264966 n) (A057889 (A263273 n)))

Formula

a(n) = A057889(A263273(n)).

Other identities. For all n >= 0:

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