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A071154 Totally balanced decimal numbers: if we assign the weight w(d) = d-1 for each digit d (i.e. w(0) = -1, w(1) = 0, ..., w(9) = 8), and then read the digits of the term from left to right, the partial sum of weights goes never negative, and the total weighted sum is zero. +0
5
1, 11, 20, 111, 120, 201, 210, 300, 1111, 1120, 1201, 1210, 1300, 2011, 2020, 2101, 2110, 2200, 3001, 3010, 3100, 4000, 11111, 11120, 11201, 11210, 11300, 12011, 12020, 12101, 12110, 12200, 13001, 13010, 13100, 14000, 20111, 20120, 20201 (list; graph; listen)
OFFSET

1,2

COMMENT

The initial portion of this sequence (up to the 6917th term) is equal to A071153 (Lukasiewicz words for rooted plane trees) sorted to ascending order by the numerical value.

LINKS

Index entries for sequences related to Lukasiewicz words

CROSSREFS

A071153. Subset of A061384. Superset of A071161. Cf. also totally balanced binary numbers: A014486.

Adjacent sequences: A071151 A071152 A071153 this_sequence A071155 A071156 A071157

Sequence in context: A068599 A085187 A061384 this_sequence A071161 A125886 A067574

KEYWORD

nonn,base

AUTHOR

Antti Karttunen May 14 2002

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Last modified October 13 09:05 EDT 2008. Contains 145008 sequences.


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