A269397 Permutation of natural numbers: a(1) = 1, a(A233271(1+n)) = A179016(1+a(n)), a(A269390(n)) = A213713(a(n)), where A179016, A233271 are the infinite trunks of binary beanstalk and inverted binary beanstalk and A213713, A269390 their complements.

1, 3, 2, 7, 6, 5, 4, 16, 13, 12, 10, 15, 9, 27, 11, 8, 22, 21, 18, 25, 46, 17, 43, 35, 20, 14, 36, 32, 34, 29, 26, 42, 40, 69, 28, 65, 54, 23, 33, 24, 55, 85, 50, 52, 45, 31, 41, 62, 19, 60, 100, 44, 67, 95, 80, 64, 37, 51, 38, 53, 82, 122, 78, 158, 75, 77, 68, 48, 61, 91, 49, 30, 88, 143, 145, 66, 98, 136, 116, 115, 93, 63, 56, 76, 58, 79, 39

Offset: 1

Author

Antti Karttunen, Mar 05 2016

Keywords

• nonn
• base
• look

Links

• Antti Karttunen, Table of n, a(n) for n = 1..8191
• Antti Karttunen, Entanglement Permutations, 2016-2017
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Inverse: A269398.

Cf. A179016, A213713, A233271, A269381, A269390.

Related or similar permutations: A269391, A269401, A269402.

Cf. also A233270.

Formula

a(1) = 1, for n > 1, if A269381(n) - A269381(n-1) > 0 [when n is in A233271] a(n) = A179016(1+a(A269381(n)-1)), otherwise a(n) = A213713(a(n-A269381(n))).

As a composition of related permutations:

a(n) = A269402(A269391(n)).