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A072088
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.
11
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
OFFSET
0,3
COMMENTS
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).
LINKS
A. Karttunen, Gatomorphisms (Includes the complete Scheme program for computing this sequence)
CROSSREFS
Inverse permutation: A072089. Cf. also A014486, A057117, A072619.
Sequence in context: A347620 A078107 A072089 * A376774 A023768 A023795
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jun 25 2002
STATUS
approved