A130375 - OEIS

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A130375

Signature permutation of a Catalan automorphism: apply *A074685 after the first nil on the top-level of list, if any present, otherwise leave the structure intact.

0, 1, 2, 3, 5, 4, 6, 7, 8, 11, 12, 13, 10, 9, 14, 15, 16, 17, 18, 19, 20, 21, 22, 29, 28, 30, 31, 32, 33, 34, 35, 25, 26, 36, 27, 24, 23, 38, 37, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 81, 82, 83, 80, 79, 85, 84

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

A. Karttunen, Table of n, a(n) for n = 0..2055

Index entries for signature-permutations of Catalan automorphisms

PROG

(Destructive Scheme implementation of this automorphism, which acts on S-expressions, i.e. list-structures:)

(define *A130375! (!APPLY-AFTER-FIRST-NIL *A074685!))

(define (!APPLY-AFTER-FIRST-NIL f!) (letrec ((g! (lambda (s) (cond ((pair? s) (if (pair? (car s)) (g! (cdr s)) (f! (cdr s))))) s))) g!))

CROSSREFS

Inverse: A130376. a(n) = A074685(A130370(n)) = A074685(A130371(A074686(n))) = A130369(A130371(A130370(n))).