A123495 Signature permutation of a nonrecursive Catalan automorphism: row 65518 of table A089840.

0, 1, 3, 2, 6, 7, 8, 4, 5, 14, 15, 16, 17, 18, 21, 22, 19, 9, 10, 20, 11, 12, 13, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 58, 59, 62, 63, 64, 56, 60, 51, 23, 24, 52, 25, 26, 27, 57, 61, 53, 28, 29, 54, 30, 31, 32, 55, 33, 34, 35, 36, 107, 108, 109, 110, 111

Offset

0,3

Links

Table of n, a(n) for n=0..69.

A. Karttunen, Prolog-program which illustrates the construction of this and other similar nonrecursive Catalan automorphisms.

Index entries for signature-permutations of Catalan automorphisms

Prog

(Scheme function, destructive implementation of this automorphism acting on S-expressions:) (define (*A123495! s) (cond ((null? s) s) ((and (pair? (car s)) (pair? (cdr s))) (*A069770! s) (*A074679! s)) (else (*A074679! s))) s)

Crossrefs

Inverse: A123496. a(n) = A082351(A069770(n)). Row 65518 of A089840. Used to construct automorphism *A082357. Cf. A069770 and A074679.

Sequence in context: A092745 A074679 A122323 * A130369 A072091 A074687

Adjacent sequences: A123492 A123493 A123494 * A123496 A123497 A123498

Keyword

nonn

Author

Antti Karttunen, Oct 11 2006

Status

approved