The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A130339 Signature permutation of a Catalan automorphism: swap the two rightmost subtrees of general trees, if the root degree (A057515(n)) is even. 4
 0, 1, 2, 3, 4, 6, 5, 7, 8, 9, 10, 11, 16, 19, 14, 15, 12, 17, 18, 13, 20, 21, 22, 23, 25, 24, 26, 27, 28, 29, 30, 44, 47, 33, 53, 56, 60, 37, 38, 39, 43, 52, 42, 40, 31, 45, 46, 32, 48, 49, 50, 51, 41, 34, 54, 55, 35, 57, 58, 59, 36, 61, 62, 63, 64, 65, 66, 67, 72, 75, 70, 71 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS This self-inverse automorphism is obtained as either SPINE(*A129608) or ENIPS(*A129608). See the definitions given in A122203 and A122204. LINKS A. Karttunen, Table of n, a(n) for n = 0..2055 PROG (Destructive Scheme implementation of this automorphism, which acts on S-expressions, i.e. list-structures:) (define (*A130339! s) (if (even? (length s)) (*A129608! s)) s) CROSSREFS Cf. a(n) = A057508(A130340(A057508(n))) = A057164(A130340(A057164(n))). Row 3608 of A122285 and A122286. a(n) = A129608(n), if A057515(n) mod 2 = 0, otherwise a(n)=n. Sequence in context: A275582 A129607 A130340 * A058812 A320454 A320455 Adjacent sequences:  A130336 A130337 A130338 * A130340 A130341 A130342 KEYWORD nonn AUTHOR Antti Karttunen, Jun 05 2007 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 May 27 18:56 EDT 2020. Contains 334664 sequences. (Running on oeis4.)