A071155 The Catalan factorial walks (for each rooted plane tree encoded by A014486) encoded as zero-free numbers in factorial base (A007623).

0, 1, 3, 5, 9, 15, 11, 17, 23, 33, 57, 39, 63, 87, 35, 59, 41, 65, 89, 47, 71, 95, 119, 153, 273, 177, 297, 417, 159, 279, 183, 303, 423, 207, 327, 447, 567, 155, 275, 179, 299, 419, 161, 281, 185, 305, 425, 209, 329, 449, 569, 167, 287, 191, 311, 431, 215, 335

Offset: 0

Author

Antti Karttunen, May 14 2002

Keywords

• base
• nonn
• tabf

Links

• C. Banderier, A. Denise, P. Flajolet, M. Bousquet-Mélou, et al., Generating Functions for Generating Trees, Discrete Mathematics 246(1-3), March 2002, pp. 29-55.
• A. Karttunen, Gatomorphisms and other excursions amidst the plane trees and parenthesizations (Includes the complete Scheme program for computing this sequence)

Crossrefs

Same sequence sorted: A071156, expanded in the factorial number system: A071157. Corresponding Łukasiewicz words: A071153.

Cf. A000108 (row lengths), A120695.