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Search: id:A072088
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| A072088 |
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Permutation of natural numbers induced by the automorphism gt-bf->df (switch from the Breadth First to the Depth First coding for the general trees/parenthesizations) acting on the parenthesizations encoded by A014486. |
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+0
12
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| 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 19, 16, 17, 18, 15, 20, 21, 22, 23, 24, 25, 26, 27, 28, 33, 30, 31, 32, 29, 34, 35, 36, 37, 51, 38, 56, 60, 42, 47, 44, 45, 46, 53, 48, 49, 50, 39, 41, 43, 54, 61, 40, 57, 58, 59, 52, 55, 62, 63, 64, 65, 66, 67, 68, 69, 70, 75
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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When restricted to the subset of plane binary trees, produces the automorphism A057117, with which this shares the property of "self-embeddability": each sub-permutation of the length A000108(n): 0; 1; 2,3; 4,5,6,7,8; 9,10,11,12,13,14,19,16,17,18,15,20,21,22; 23,24,25,26,27,28,33,30,31,32,29,34,35,36,37,51,38,56,60,42,47,44,45,46,53,48,49,50,39,41,43,54,61,40,57,58,59,52,55,62,63,64; starts with the same cycle-structure as the previous sub-permutation. (i.e. the terms from the first to the sixth are fixed, the 7th and 11th are transposed, etc.), thus allowing us to construct the permutation A072619 (A072621).
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LINKS
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A. Karttunen, Gatomorphisms (Includes the complete Scheme program for computing this sequence)
Index entries for sequences that are permutations of the natural numbers
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CROSSREFS
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Inverse permutation: A072089. Cf. also A014486, A057117, A072619.
Adjacent sequences: A072085 A072086 A072087 this_sequence A072089 A072090 A072091
Sequence in context: A039698 A078107 A072089 this_sequence A023768 A023795 A032949
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KEYWORD
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nonn
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AUTHOR
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Antti Karttunen Jun 25 2002
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