A297166 Permutation of nonnegative integers: a(n) = A005940(A156552(n)), a(1) = 0.

0, 1, 2, 3, 4, 5, 8, 9, 6, 7, 16, 15, 32, 11, 10, 27, 64, 25, 128, 21, 14, 13, 256, 45, 12, 17, 18, 33, 512, 35, 1024, 81, 22, 19, 20, 75, 2048, 23, 26, 63, 4096, 55, 8192, 39, 30, 29, 16384, 135, 24, 49, 34, 51, 32768, 125, 28, 99, 38, 31, 65536, 105, 131072, 37, 42, 243, 44, 65, 262144, 57, 46, 77, 524288, 225, 1048576, 41, 50, 69, 40, 85

Offset: 1

Author

Antti Karttunen, Jan 05 2018

Keywords

• nonn

Comments

Note the indexing: although the domain starts from 1, the range includes also zero.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..10000
• Index entries for sequences related to binary expansion of n
• Index entries for sequences that are permutations of the natural numbers
• Index entries for sequences computed from indices in prime factorization

Crossrefs

Inverse: A297165.

Cf. A005940, A156552.

Cf. also A297164.

Programs

Scheme

(define (A297166 n) (if (= 1 n) 0 (A005940 (A156552 n))))

Formula

a(1) = 0; for n > 1, a(n) = A005940(A156552(n)).