A282145 - cp's OEIS frontend

A282145 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..k}{(i-j+1)d_i} = Sum_{i=1..j-1}{(j-i)d_i}. Case x = 4.

n	a(n)
1	5
2	10
3	15
4	18
5	20
6	23
7	33
8	40
9	53
10	60
11	65
12	67
13	72
14	80
15	85
16	92
17	98
18	105
19	118
20	125
21	130
22	132
23	137
24	150
25	157
26	160
27	163
28	170
29	183
30	190
31	193
32	195
33	202
34	212
35	215
36	222
37	235
38	240
39	255
40	260
41	261
42	268
43	274
44	281
45	288
46	294
47	301
48	307
49	314
50	320
51	321
52	326
53	333
54	339
55	340
56	346

[5, 10, 15, 18, 20, 23, 33, 40, 53, 60, 65, 67, 72, 80, 85, 92, 98, 105, 118, 125, 130, 132, 137, 150, 157, 160, 163, 170, 183, 190, 193, 195, 202, 212, 215, 222, 235, 240, 255, 260, 261, 268, 274, 281, 288, 294, 301, 307, 314, 320, 321, 326, 333, 339, 340, 346]

cp's OEIS Frontend

A282145 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..k}{(i-j+1)d_i} = Sum_{i=1..j-1}{(j-i)d_i}. Case x = 4.

Table of values

List of values

n	a(n)
1	5
2	10
3	15
4	18
5	20
6	23
7	33
8	40
9	53
10	60
11	65
12	67
13	72
14	80
15	85
16	92
17	98
18	105
19	118
20	125
21	130
22	132
23	137
24	150
25	157
26	160
27	163
28	170
29	183
30	190
31	193
32	195
33	202
34	212
35	215
36	222
37	235
38	240
39	255
40	260
41	261
42	268
43	274
44	281
45	288
46	294
47	301
48	307
49	314
50	320
51	321
52	326
53	333
54	339
55	340
56	346

n	a(n)
1	5
2	10
3	15
4	18
5	20
6	23
7	33
8	40
9	53
10	60
11	65
12	67
13	72
14	80
15	85
16	92
17	98
18	105
19	118
20	125
21	130
22	132
23	137
24	150
25	157
26	160
27	163
28	170
29	183
30	190
31	193
32	195
33	202
34	212
35	215
36	222
37	235
38	240
39	255
40	260
41	261
42	268
43	274
44	281
45	288
46	294
47	301
48	307
49	314
50	320
51	321
52	326
53	333
54	339
55	340
56	346

cp's OEIS Frontend

A282145 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..k}{(i-j+1)*d_i} = Sum_{i=1..j-1}{(j-i)*d_i}. Case x = 4.

Table of values

List of values

A282145 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..k}{(i-j+1)d_i} = Sum_{i=1..j-1}{(j-i)d_i}. Case x = 4.

n	a(n)
1	5
2	10
3	15
4	18
5	20
6	23
7	33
8	40
9	53
10	60
11	65
12	67
13	72
14	80
15	85
16	92
17	98
18	105
19	118
20	125
21	130
22	132
23	137
24	150
25	157
26	160
27	163
28	170
29	183
30	190
31	193
32	195
33	202
34	212
35	215
36	222
37	235
38	240
39	255
40	260
41	261
42	268
43	274
44	281
45	288
46	294
47	301
48	307
49	314
50	320
51	321
52	326
53	333
54	339
55	340
56	346