A209644 Łukasiewicz words (without the last zero) for rooted plane trees where non-leaf branching can occur only at the leftmost branch of any level, but nowhere else.

0, 1, 20, 11, 300, 210, 120, 111, 4000, 3100, 2200, 1300, 2110, 1210, 1120, 1111, 50000, 41000, 32000, 23000, 14000, 31100, 22100, 13100, 21200, 12200, 11300, 21110, 12110, 11210, 11120, 11111, 600000, 510000, 420000, 330000, 240000, 150000, 411000, 321000, 231000, 141000, 312000, 222000, 132000, 213000

Offset: 0

Author

Antti Karttunen, Mar 24 2012

Keywords

• nonn
• base
• fini

Comments

Note: this finite decimal representation works only up to the 511th term, as the 512th such word is already (10,0,0,0,0,0,0,0,0,0).

Links

• Antti Karttunen, Table of n, a(n) for n = 0..511
• A. Karttunen, Corresponding Lukasiewicz-words (with a trailing zero) illustrated on 1, 2, 3, 4, 6, 7, 8, 9, 14, 16, 17th, etc. row in this illustration.
• OEIS Wiki, Łukasiewicz words
• Index entries for sequences related to Łukasiewicz

Crossrefs

A209643 gives the positions of these terms in A071153 (A014486).

Cf. A071160.

Formula

a(n) = A071153(A209643(n)).