This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 (list; graph; refs; listen; history; text; internal format)
 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: A039698 A078107 A072089 * A023768 A023795 A032949 Adjacent sequences:  A072085 A072086 A072087 * A072089 A072090 A072091 KEYWORD nonn AUTHOR Antti Karttunen, Jun 25 2002 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified October 21 16:04 EDT 2019. Contains 328301 sequences. (Running on oeis4.)