A242616 - cp's OEIS frontend

A242616 Decimal expansion of lim_(n->infinity) ((Sum_(k=1..n) 1/sqrt(k)) - (Integral_{x=1..n} 1/sqrt(x))), a generalized Euler constant which evaluates to zeta(1/2) + 2.

n	a(n)
0	5
1	3
2	9
3	6
4	4
5	5
6	4
7	9
8	1
9	1
10	9
11	0
12	4
13	1
14	3
15	1
16	8
17	7
18	1
19	1
20	0
21	5
22	0
23	0
24	8
25	4
26	7
27	4
28	8
29	4
30	7
31	0
32	1
33	9
34	8
35	7
36	5
37	3
38	2
39	7
40	7
41	0
42	6
43	6
44	8
45	9
46	8
47	7
48	4
49	1
50	8
51	5
52	0
53	9
54	4
55	5
56	7
57	1
58	1
59	3
60	9
61	1
62	2
63	1
64	7
65	4
66	4
67	6
68	9
69	4
70	7
71	0
72	5
73	2
74	5
75	4
76	9
77	9
78	3
79	7
80	4
81	7
82	2
83	3
84	5
85	8
86	0
87	6
88	2
89	4
90	5
91	3
92	6
93	6
94	4
95	3
96	1
97	8
98	0
99	4

[5, 3, 9, 6, 4, 5, 4, 9, 1, 1, 9, 0, 4, 1, 3, 1, 8, 7, 1, 1, 0, 5, 0, 0, 8, 4, 7, 4, 8, 4, 7, 0, 1, 9, 8, 7, 5, 3, 2, 7, 7, 0, 6, 6, 8, 9, 8, 7, 4, 1, 8, 5, 0, 9, 4, 5, 7, 1, 1, 3, 9, 1, 2, 1, 7, 4, 4, 6, 9, 4, 7, 0, 5, 2, 5, 4, 9, 9, 3, 7, 4, 7, 2, 3, 5, 8, 0, 6, 2, 4, 5, 3, 6, 6, 4, 3, 1, 8, 0, 4]

cp's OEIS Frontend

A242616 Decimal expansion of lim_(n->infinity) ((Sum_(k=1..n) 1/sqrt(k)) - (Integral_{x=1..n} 1/sqrt(x))), a generalized Euler constant which evaluates to zeta(1/2) + 2.

Table of values

List of values

n	a(n)
0	5
1	3
2	9
3	6
4	4
5	5
6	4
7	9
8	1
9	1
10	9
11	0
12	4
13	1
14	3
15	1
16	8
17	7
18	1
19	1
20	0
21	5
22	0
23	0
24	8
25	4
26	7
27	4
28	8
29	4
30	7
31	0
32	1
33	9
34	8
35	7
36	5
37	3
38	2
39	7
40	7
41	0
42	6
43	6
44	8
45	9
46	8
47	7
48	4
49	1
50	8
51	5
52	0
53	9
54	4
55	5
56	7
57	1
58	1
59	3
60	9
61	1
62	2
63	1
64	7
65	4
66	4
67	6
68	9
69	4
70	7
71	0
72	5
73	2
74	5
75	4
76	9
77	9
78	3
79	7
80	4
81	7
82	2
83	3
84	5
85	8
86	0
87	6
88	2
89	4
90	5
91	3
92	6
93	6
94	4
95	3
96	1
97	8
98	0
99	4

n	a(n)
0	5
1	3
2	9
3	6
4	4
5	5
6	4
7	9
8	1
9	1
10	9
11	0
12	4
13	1
14	3
15	1
16	8
17	7
18	1
19	1
20	0
21	5
22	0
23	0
24	8
25	4
26	7
27	4
28	8
29	4
30	7
31	0
32	1
33	9
34	8
35	7
36	5
37	3
38	2
39	7
40	7
41	0
42	6
43	6
44	8
45	9
46	8
47	7
48	4
49	1
50	8
51	5
52	0
53	9
54	4
55	5
56	7
57	1
58	1
59	3
60	9
61	1
62	2
63	1
64	7
65	4
66	4
67	6
68	9
69	4
70	7
71	0
72	5
73	2
74	5
75	4
76	9
77	9
78	3
79	7
80	4
81	7
82	2
83	3
84	5
85	8
86	0
87	6
88	2
89	4
90	5
91	3
92	6
93	6
94	4
95	3
96	1
97	8
98	0
99	4

n	a(n)
0	5
1	3
2	9
3	6
4	4
5	5
6	4
7	9
8	1
9	1
10	9
11	0
12	4
13	1
14	3
15	1
16	8
17	7
18	1
19	1
20	0
21	5
22	0
23	0
24	8
25	4
26	7
27	4
28	8
29	4
30	7
31	0
32	1
33	9
34	8
35	7
36	5
37	3
38	2
39	7
40	7
41	0
42	6
43	6
44	8
45	9
46	8
47	7
48	4
49	1
50	8
51	5
52	0
53	9
54	4
55	5
56	7
57	1
58	1
59	3
60	9
61	1
62	2
63	1
64	7
65	4
66	4
67	6
68	9
69	4
70	7
71	0
72	5
73	2
74	5
75	4
76	9
77	9
78	3
79	7
80	4
81	7
82	2
83	3
84	5
85	8
86	0
87	6
88	2
89	4
90	5
91	3
92	6
93	6
94	4
95	3
96	1
97	8
98	0
99	4