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

0,3

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

Formula

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

Crossrefs

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

Cf. A071160.

Sequence in context: A247337 A071160 A071153 * A154043 A073868 A215028

Adjacent sequences: A209641 A209642 A209643 * A209645 A209646 A209647

Keyword

nonn,base,fini

Author

Antti Karttunen, Mar 24 2012

Status

approved