A071154 - cp's OEIS frontend

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.

n	a(n)
1	1
2	11
3	20
4	111
5	120
6	201
7	210
8	300
9	1111
10	1120
11	1201
12	1210
13	1300
14	2011
15	2020
16	2101
17	2110
18	2200
19	3001
20	3010
21	3100
22	4000
23	11111
24	11120
25	11201
26	11210
27	11300
28	12011
29	12020
30	12101
31	12110
32	12200
33	13001
34	13010
35	13100
36	14000
37	20111
38	20120
39	20201

[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]

cp's OEIS Frontend

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.

Table of values

List of values