A269401 Permutation of natural numbers: a(1) = 1, a(A179016(1+n)) = 2*a(n), a(A213713(n)) = 1 + 2*a(n), where A179016 is the infinite trunk of binary beanstalk and A213713 is its complement.

1, 3, 2, 6, 7, 5, 4, 12, 13, 15, 14, 11, 9, 25, 10, 8, 27, 31, 24, 29, 23, 19, 26, 51, 21, 30, 17, 55, 63, 49, 28, 22, 59, 47, 18, 39, 53, 103, 50, 43, 61, 20, 35, 111, 127, 16, 99, 57, 54, 45, 119, 95, 62, 37, 79, 107, 48, 207, 101, 87, 123, 41, 58, 46, 71, 223, 38, 255, 33, 199, 52, 115, 109, 102, 91, 239, 191, 42, 125, 75, 60

Offset: 1

Author

Antti Karttunen, Mar 05 2016

Keywords

• nonn
• base

Links

• Antti Karttunen, Table of n, a(n) for n = 1..10000
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Inverse: A269402.

Cf. A179016, A213713, A213719, A269371.

Related or similar permutations: A269391, A269398.

Formula

a(1) = 1, for n > 1, if A213719(n) = 1 [when n is in A179016] a(n) = 2*a(A269371(n)-1), otherwise a(n) = 1 + 2*a(n-A269371(n)).

As a composition of other permutations:

a(n) = A269391(A269398(n)).