A282108 - cp's OEIS frontend

A282108 Numbers n with k digits in base x (MSD(n)=d_k, LSD(n)=d_1) such that, chosen one of their digits in position d_k < j < d_1, is Sum_{i=j+1..k}{(i-j)d_i} = Sum_{i=1..j-1}{(j-i)d_i}. Case x = 3.

n	a(n)
1	10
2	13
3	16
4	20
5	23
6	26
7	29
8	30
9	32
10	35
11	39
12	48
13	55
14	60
15	64
16	69
17	73
18	78
19	82
20	87
21	90
22	91
23	96
24	100
25	105
26	112
27	117
28	121
29	130
30	137
31	142
32	144
33	146
34	151
35	155
36	160
37	164
38	165
39	169
40	173
41	178
42	180
43	182
44	187
45	192
46	194
47	203
48	207
49	212
50	219
51	224
52	233
53	234
54	242
55	246
56	247
57	256

[10, 13, 16, 20, 23, 26, 29, 30, 32, 35, 39, 48, 55, 60, 64, 69, 73, 78, 82, 87, 90, 91, 96, 100, 105, 112, 117, 121, 130, 137, 142, 144, 146, 151, 155, 160, 164, 165, 169, 173, 178, 180, 182, 187, 192, 194, 203, 207, 212, 219, 224, 233, 234, 242, 246, 247, 256]

cp's OEIS Frontend

A282108 Numbers n with k digits in base x (MSD(n)=d_k, LSD(n)=d_1) such that, chosen one of their digits in position d_k < j < d_1, is Sum_{i=j+1..k}{(i-j)d_i} = Sum_{i=1..j-1}{(j-i)d_i}. Case x = 3.

Table of values

List of values

n	a(n)
1	10
2	13
3	16
4	20
5	23
6	26
7	29
8	30
9	32
10	35
11	39
12	48
13	55
14	60
15	64
16	69
17	73
18	78
19	82
20	87
21	90
22	91
23	96
24	100
25	105
26	112
27	117
28	121
29	130
30	137
31	142
32	144
33	146
34	151
35	155
36	160
37	164
38	165
39	169
40	173
41	178
42	180
43	182
44	187
45	192
46	194
47	203
48	207
49	212
50	219
51	224
52	233
53	234
54	242
55	246
56	247
57	256

n	a(n)
1	10
2	13
3	16
4	20
5	23
6	26
7	29
8	30
9	32
10	35
11	39
12	48
13	55
14	60
15	64
16	69
17	73
18	78
19	82
20	87
21	90
22	91
23	96
24	100
25	105
26	112
27	117
28	121
29	130
30	137
31	142
32	144
33	146
34	151
35	155
36	160
37	164
38	165
39	169
40	173
41	178
42	180
43	182
44	187
45	192
46	194
47	203
48	207
49	212
50	219
51	224
52	233
53	234
54	242
55	246
56	247
57	256

cp's OEIS Frontend

A282108 Numbers n with k digits in base x (MSD(n)=d_k, LSD(n)=d_1) such that, chosen one of their digits in position d_k < j < d_1, is Sum_{i=j+1..k}{(i-j)*d_i} = Sum_{i=1..j-1}{(j-i)*d_i}. Case x = 3.

Table of values

List of values

A282108 Numbers n with k digits in base x (MSD(n)=d_k, LSD(n)=d_1) such that, chosen one of their digits in position d_k < j < d_1, is Sum_{i=j+1..k}{(i-j)d_i} = Sum_{i=1..j-1}{(j-i)d_i}. Case x = 3.

n	a(n)
1	10
2	13
3	16
4	20
5	23
6	26
7	29
8	30
9	32
10	35
11	39
12	48
13	55
14	60
15	64
16	69
17	73
18	78
19	82
20	87
21	90
22	91
23	96
24	100
25	105
26	112
27	117
28	121
29	130
30	137
31	142
32	144
33	146
34	151
35	155
36	160
37	164
38	165
39	169
40	173
41	178
42	180
43	182
44	187
45	192
46	194
47	203
48	207
49	212
50	219
51	224
52	233
53	234
54	242
55	246
56	247
57	256