A269864 Permutation of natural numbers: a(1) = 1, a(2n) = A269360(a(n)), a(2n+1) = A250469(1+a(n)).

1, 2, 3, 4, 5, 6, 9, 10, 7, 8, 15, 16, 11, 26, 27, 28, 13, 12, 21, 22, 25, 36, 45, 46, 19, 14, 33, 76, 65, 66, 81, 82, 31, 18, 39, 34, 17, 56, 63, 64, 29, 50, 75, 106, 41, 116, 135, 136, 53, 24, 57, 40, 35, 86, 99, 226, 143, 120, 195, 196, 71, 206, 243, 244, 89, 38, 93, 52, 23, 96, 117, 100, 77, 20, 51, 166, 145, 156, 189, 190, 119, 32, 87

Offset: 1

Author

Antti Karttunen, Mar 13 2016

Keywords

• nonn
• tabf

Comments

This sequence can be represented as a binary tree. When the parent contains n, the left hand child contains A269360(n) [= 1+A250469(n)] and the right hand child contains A250469(1+n):

1

|

................../ \..................

2 3

4......../ \........5 6......../ \........9

/ \ / \ / \ / \

/ \ / \ / \ / \

/ \ / \ / \ / \

10 7 8 15 16 11 26 27

28 13 12 21 22 25 36 45 46 19 14 33 76 65 66 81

etc.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..5887
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Inverse: A269863.

Cf. A250469, A269360.

Cf. also A269865, A269866, A269867.

Differs from similarly constructed A245606 for the first time at n=15, where a(15)=27 instead of 21.

Formula

a(1) = 1, a(2n) = 1 + A250469(a(n)), a(2n+1) = A250469(1+a(n)).