A338857 - cp's OEIS frontend

A338857 With S(n,k) = Sum_{n<=j<=k} 1/(2*j+1), a(n)=k+1 such that S(n,k-1) < 1 <= S(n,k) for n>=0 and a(0)=1.

n	a(n)
0	1
1	8
2	15
3	23
4	30
5	38
6	45
7	52
8	60
9	67
10	74
11	82
12	89
13	97
14	104
15	111
16	119
17	126
18	134
19	141
20	148
21	156
22	163
23	170
24	178
25	185
26	193
27	200
28	207
29	215
30	222
31	230
32	237
33	244
34	252
35	259
36	267
37	274
38	281
39	289
40	296
41	303
42	311
43	318
44	326
45	333
46	340
47	348
48	355
49	363
50	370
51	377
52	385
53	392
54	400
55	407
56	414

[1, 8, 15, 23, 30, 38, 45, 52, 60, 67, 74, 82, 89, 97, 104, 111, 119, 126, 134, 141, 148, 156, 163, 170, 178, 185, 193, 200, 207, 215, 222, 230, 237, 244, 252, 259, 267, 274, 281, 289, 296, 303, 311, 318, 326, 333, 340, 348, 355, 363, 370, 377, 385, 392, 400, 407, 414]

cp's OEIS Frontend

A338857 With S(n,k) = Sum_{n<=j<=k} 1/(2*j+1), a(n)=k+1 such that S(n,k-1) < 1 <= S(n,k) for n>=0 and a(0)=1.

Table of values

List of values

n	a(n)
0	1
1	8
2	15
3	23
4	30
5	38
6	45
7	52
8	60
9	67
10	74
11	82
12	89
13	97
14	104
15	111
16	119
17	126
18	134
19	141
20	148
21	156
22	163
23	170
24	178
25	185
26	193
27	200
28	207
29	215
30	222
31	230
32	237
33	244
34	252
35	259
36	267
37	274
38	281
39	289
40	296
41	303
42	311
43	318
44	326
45	333
46	340
47	348
48	355
49	363
50	370
51	377
52	385
53	392
54	400
55	407
56	414

n	a(n)
0	1
1	8
2	15
3	23
4	30
5	38
6	45
7	52
8	60
9	67
10	74
11	82
12	89
13	97
14	104
15	111
16	119
17	126
18	134
19	141
20	148
21	156
22	163
23	170
24	178
25	185
26	193
27	200
28	207
29	215
30	222
31	230
32	237
33	244
34	252
35	259
36	267
37	274
38	281
39	289
40	296
41	303
42	311
43	318
44	326
45	333
46	340
47	348
48	355
49	363
50	370
51	377
52	385
53	392
54	400
55	407
56	414

n	a(n)
0	1
1	8
2	15
3	23
4	30
5	38
6	45
7	52
8	60
9	67
10	74
11	82
12	89
13	97
14	104
15	111
16	119
17	126
18	134
19	141
20	148
21	156
22	163
23	170
24	178
25	185
26	193
27	200
28	207
29	215
30	222
31	230
32	237
33	244
34	252
35	259
36	267
37	274
38	281
39	289
40	296
41	303
42	311
43	318
44	326
45	333
46	340
47	348
48	355
49	363
50	370
51	377
52	385
53	392
54	400
55	407
56	414