A269359 Self-inverse permutation of natural numbers: a(1)=1, a(A269360(n)) = A250469(1+a(n)), a(A250469(1+n)) = A269360(a(n)).

1, 3, 2, 9, 6, 5, 26, 11, 4, 27, 8, 65, 66, 25, 16, 15, 120, 71, 36, 169, 76, 33, 74, 41, 14, 7, 10, 81, 86, 185, 206, 215, 22, 195, 50, 19, 330, 515, 196, 75, 24, 337, 186, 49, 46, 45, 348, 247, 44, 35, 358, 213, 116, 353, 290, 143, 106, 507, 536, 295, 1266, 1345, 226, 99, 12, 13, 512, 2321, 220, 123, 18, 1285, 306, 23, 40, 21

Offset: 1

Author

Antti Karttunen, Mar 13 2016

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..607
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Cf. A250469, A268674, A269360.

Similar or related permutations: A244319, A269863, A269864, A269865, A269866, A269867.

Formula

a(1) = 1, after which for even n, a(n) = A250469(1+a(A268674(n-1))), for odd n, a(n) = A269360(a(A268674(n)-1)).

The declarative form can be expressed in terms of A250469 only:

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