A282112 - cp's OEIS frontend

A282112 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 = 7.

n	a(n)
1	50
2	57
3	64
4	71
5	78
6	85
7	92
8	100
9	107
10	114
11	121
12	128
13	135
14	142
15	150
16	157
17	164
18	171
19	178
20	185
21	192
22	200
23	207
24	214
25	221
26	228
27	235
28	242
29	250
30	257
31	264
32	271
33	278
34	285
35	292
36	300
37	307
38	314
39	321
40	328
41	335
42	342
43	345
44	350
45	352
46	359
47	366
48	373
49	380
50	387
51	395
52	399
53	402
54	409

[50, 57, 64, 71, 78, 85, 92, 100, 107, 114, 121, 128, 135, 142, 150, 157, 164, 171, 178, 185, 192, 200, 207, 214, 221, 228, 235, 242, 250, 257, 264, 271, 278, 285, 292, 300, 307, 314, 321, 328, 335, 342, 345, 350, 352, 359, 366, 373, 380, 387, 395, 399, 402, 409]

cp's OEIS Frontend

A282112 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 = 7.

Table of values

List of values

n	a(n)
1	50
2	57
3	64
4	71
5	78
6	85
7	92
8	100
9	107
10	114
11	121
12	128
13	135
14	142
15	150
16	157
17	164
18	171
19	178
20	185
21	192
22	200
23	207
24	214
25	221
26	228
27	235
28	242
29	250
30	257
31	264
32	271
33	278
34	285
35	292
36	300
37	307
38	314
39	321
40	328
41	335
42	342
43	345
44	350
45	352
46	359
47	366
48	373
49	380
50	387
51	395
52	399
53	402
54	409

n	a(n)
1	50
2	57
3	64
4	71
5	78
6	85
7	92
8	100
9	107
10	114
11	121
12	128
13	135
14	142
15	150
16	157
17	164
18	171
19	178
20	185
21	192
22	200
23	207
24	214
25	221
26	228
27	235
28	242
29	250
30	257
31	264
32	271
33	278
34	285
35	292
36	300
37	307
38	314
39	321
40	328
41	335
42	342
43	345
44	350
45	352
46	359
47	366
48	373
49	380
50	387
51	395
52	399
53	402
54	409

cp's OEIS Frontend

A282112 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 = 7.

Table of values

List of values

A282112 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 = 7.

n	a(n)
1	50
2	57
3	64
4	71
5	78
6	85
7	92
8	100
9	107
10	114
11	121
12	128
13	135
14	142
15	150
16	157
17	164
18	171
19	178
20	185
21	192
22	200
23	207
24	214
25	221
26	228
27	235
28	242
29	250
30	257
31	264
32	271
33	278
34	285
35	292
36	300
37	307
38	314
39	321
40	328
41	335
42	342
43	345
44	350
45	352
46	359
47	366
48	373
49	380
50	387
51	395
52	399
53	402
54	409