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A071154 Totally balanced decimal numbers: if we assign the weight w(d) = d-1 to 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 the weights is never negative and the total weighted sum is zero. 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; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
The initial portion of this sequence (up to the 6917th term) is equal to A071153 (Łukasiewicz words for rooted plane trees) sorted in ascending order.
LINKS
PROG
(PARI) isok(n) = {my(s = 0); my(d = digits(n)); for (k=1, #d, s += d[k]-1; if (s<0, return (0)); ); if (s, 0, 1); } \\ Michel Marcus, Oct 16 2015
CROSSREFS
Subset of A061384. Superset of A071161.
Cf. A014486 (totally balanced binary numbers), A071153.
Sequence in context: A198310 A085187 A061384 * A071161 A367609 A360470
KEYWORD
nonn,base
AUTHOR
Antti Karttunen, May 14 2002
STATUS
approved

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Last modified March 29 11:45 EDT 2024. Contains 371278 sequences. (Running on oeis4.)