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A129604
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Signature-permutation of a Catalan automorphism, row 1654720 of A089840.
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5
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0, 1, 3, 2, 8, 7, 6, 5, 4, 21, 22, 20, 17, 18, 19, 16, 15, 12, 13, 14, 11, 9, 10, 58, 59, 62, 63, 64, 57, 61, 54, 45, 46, 55, 48, 49, 50, 56, 60, 53, 44, 47, 52, 43, 40, 31, 32, 41, 34, 35, 36, 51, 42, 39, 30, 33, 37, 28, 23, 24, 38, 29, 25, 26, 27, 170, 171, 174, 175, 176
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OFFSET
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0,3
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COMMENTS
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This involution effects the following transformation on the binary trees (labels A,B,C,D refer to arbitrary subtrees located on those nodes and () stands for a terminal node.)
.A..B.C..D.....D..C.B..A.......B...C...C...B........A...B............B...A
..\./.\./.......\./.\./.........\./.....\./..........\./..............\./.
...x...x....-->..x...x.......()..x..-->..x..()........x..()...-->..()..x..
....\./...........\./.........\./.........\./..........\./..........\./...
.....x.............x...........x...........x............x............x....
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LINKS
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PROG
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(Constructive and destructive Scheme implementation of this automorphism. These act on S-expressions, i.e. list-structures:)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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