A282114 - cp's OEIS frontend

A282114 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 = 9.

n	a(n)
1	82
2	91
3	100
4	109
5	118
6	127
7	136
8	145
9	154
10	164
11	173
12	182
13	191
14	200
15	209
16	218
17	227
18	236
19	246
20	255
21	264
22	273
23	282
24	291
25	300
26	309
27	318
28	328
29	337
30	346
31	355
32	364
33	373
34	382
35	391
36	400
37	410
38	419
39	428
40	437
41	446
42	455
43	464
44	473
45	482
46	492
47	501
48	510
49	519
50	528
51	537
52	546
53	555

[82, 91, 100, 109, 118, 127, 136, 145, 154, 164, 173, 182, 191, 200, 209, 218, 227, 236, 246, 255, 264, 273, 282, 291, 300, 309, 318, 328, 337, 346, 355, 364, 373, 382, 391, 400, 410, 419, 428, 437, 446, 455, 464, 473, 482, 492, 501, 510, 519, 528, 537, 546, 555]

cp's OEIS Frontend

A282114 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 = 9.

Table of values

List of values

n	a(n)
1	82
2	91
3	100
4	109
5	118
6	127
7	136
8	145
9	154
10	164
11	173
12	182
13	191
14	200
15	209
16	218
17	227
18	236
19	246
20	255
21	264
22	273
23	282
24	291
25	300
26	309
27	318
28	328
29	337
30	346
31	355
32	364
33	373
34	382
35	391
36	400
37	410
38	419
39	428
40	437
41	446
42	455
43	464
44	473
45	482
46	492
47	501
48	510
49	519
50	528
51	537
52	546
53	555

n	a(n)
1	82
2	91
3	100
4	109
5	118
6	127
7	136
8	145
9	154
10	164
11	173
12	182
13	191
14	200
15	209
16	218
17	227
18	236
19	246
20	255
21	264
22	273
23	282
24	291
25	300
26	309
27	318
28	328
29	337
30	346
31	355
32	364
33	373
34	382
35	391
36	400
37	410
38	419
39	428
40	437
41	446
42	455
43	464
44	473
45	482
46	492
47	501
48	510
49	519
50	528
51	537
52	546
53	555

cp's OEIS Frontend

A282114 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 = 9.

Table of values

List of values

A282114 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 = 9.

n	a(n)
1	82
2	91
3	100
4	109
5	118
6	127
7	136
8	145
9	154
10	164
11	173
12	182
13	191
14	200
15	209
16	218
17	227
18	236
19	246
20	255
21	264
22	273
23	282
24	291
25	300
26	309
27	318
28	328
29	337
30	346
31	355
32	364
33	373
34	382
35	391
36	400
37	410
38	419
39	428
40	437
41	446
42	455
43	464
44	473
45	482
46	492
47	501
48	510
49	519
50	528
51	537
52	546
53	555