A123696 Signature permutation of a nonrecursive Catalan automorphism: row 1653063 of table A089840.

0, 1, 3, 2, 8, 7, 4, 5, 6, 21, 22, 17, 18, 20, 9, 10, 11, 12, 13, 14, 15, 16, 19, 58, 59, 62, 63, 64, 45, 46, 48, 49, 50, 54, 55, 57, 61, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 47, 51, 52, 53, 56, 60, 170, 171, 174, 175, 176

Offset: 0

Author

Antti Karttunen, Oct 11 2006

Keywords

• nonn

Comments

This automorphism is illustrated below, where letters A, B and C refer to arbitrary subtrees located on those nodes and () stands for an implied terminal node.

............................B...C.......C...D..............................

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

.A...B.............B...C......x...D....B..x............()...C......C..()...

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

...x...C..-->....A...x......()..x...-->..x..().......()..x....-->....x..().

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

.....x.............x..........x............x...........x...............x...

See the comments at A123695.

Links

• A. Karttunen, Prolog-program which illustrates the construction of this and other similar nonrecursive Catalan automorphisms.
• Index entries for signature-permutations of Catalan automorphisms

Crossrefs

Inverse: A123695. Row 1653063 of A089840. Variant of A074680.