A277696 Permutation of natural numbers: a(1) = 1; a(2n) = A277817(1+a(n)), a(2n+1) = A277816(a(n)).

1, 2, 5, 3, 10, 7, 13, 4, 39, 15, 26, 9, 11, 18, 29, 6, 20, 92, 75, 24, 27, 49, 58, 14, 21, 16, 19, 31, 42, 62, 41, 8, 78, 33, 52, 270, 172, 196, 147, 47, 312, 56, 51, 126, 101, 143, 82, 23, 22, 34, 45, 28, 80, 32, 35, 64, 59, 96, 90, 153, 118, 95, 61, 12, 40, 224, 150, 66, 57, 129, 116, 1134, 534, 606, 316, 752, 404, 520, 207, 120, 55, 1400, 600

Offset: 1

Author

Antti Karttunen, Nov 06 2016

Keywords

• nonn
• tabf

Comments

This sequence can be represented as a binary tree. Each left hand child is produced as A277817(1+n), and each right hand child as A277816(n), when the parent node contains n:

1

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

2 5

3......../ \........10 7......../ \........13

/ \ / \ / \ / \

/ \ / \ / \ / \

/ \ / \ / \ / \

4 39 15 26 9 11 18 29

6 20 92 75 24 27 49 58 14 21 16 19 31 42 62 41

etc.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..1024
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Inverse: A277695.

Cf. A277710, A277816, A277817.

Cf. A277701 (the rightmost edge of the tree).

Formula

a(1) = 1; and then after, a(2n) = A277817(1+a(n)), a(2n+1) = A277816(a(n)).