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

0,3

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

Formula

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

Other identities. For all n >= 0:

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

Prog

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

Crossrefs

Inverse: A264965.

Cf. A000035, A057889, A263273.

Cf. also A264967, A264968.

Sequence in context: A321464 A263273 A337305 * A308728 A201543 A073666

Adjacent sequences: A264963 A264964 A264965 * A264967 A264968 A264969

Keyword

nonn,base

Author

Antti Karttunen, Dec 05 2015

Status

approved