A172433 - cp's OEIS frontend

A172433 Let u(n) = Sum [n/[sqrt k]] and v(n) = Sum [n/(sqrt k)] where the summation index k ranges from 1 to infinity, although both sums are actually finite. Here [a] denotes the integer part of a. Then a(n) = u(n) - v(n).

n	a(n)
1	2
2	6
3	9
4	16
5	17
6	27
7	26
8	36
9	38
10	48
11	43
12	67
13	59
14	67
15	72
16	88
17	75
18	102
19	86
20	111
21	115
22	123
23	99
24	150
25	137
26	142
27	139
28	169
29	141
30	192
31	166
32	192
33	186
34	189
35	176
36	253
37	214
38	217
39	207
40	263
41	223
42	284
43	239
44	269
45	285
46	285
47	230
48	332
49	294
50	325
51	305
52	339
53	282
54	350
55	324
56	391
57	370
58	369
59	300
60	448
61	382
62	377
63	385
64	438
65	400

[2, 6, 9, 16, 17, 27, 26, 36, 38, 48, 43, 67, 59, 67, 72, 88, 75, 102, 86, 111, 115, 123, 99, 150, 137, 142, 139, 169, 141, 192, 166, 192, 186, 189, 176, 253, 214, 217, 207, 263, 223, 284, 239, 269, 285, 285, 230, 332, 294, 325, 305, 339, 282, 350, 324, 391, 370, 369, 300, 448, 382, 377, 385, 438, 400]

cp's OEIS Frontend

A172433 Let u(n) = Sum [n/[sqrt k]] and v(n) = Sum [n/(sqrt k)] where the summation index k ranges from 1 to infinity, although both sums are actually finite. Here [a] denotes the integer part of a. Then a(n) = u(n) - v(n).

Table of values

List of values

n	a(n)
1	2
2	6
3	9
4	16
5	17
6	27
7	26
8	36
9	38
10	48
11	43
12	67
13	59
14	67
15	72
16	88
17	75
18	102
19	86
20	111
21	115
22	123
23	99
24	150
25	137
26	142
27	139
28	169
29	141
30	192
31	166
32	192
33	186
34	189
35	176
36	253
37	214
38	217
39	207
40	263
41	223
42	284
43	239
44	269
45	285
46	285
47	230
48	332
49	294
50	325
51	305
52	339
53	282
54	350
55	324
56	391
57	370
58	369
59	300
60	448
61	382
62	377
63	385
64	438
65	400

n	a(n)
1	2
2	6
3	9
4	16
5	17
6	27
7	26
8	36
9	38
10	48
11	43
12	67
13	59
14	67
15	72
16	88
17	75
18	102
19	86
20	111
21	115
22	123
23	99
24	150
25	137
26	142
27	139
28	169
29	141
30	192
31	166
32	192
33	186
34	189
35	176
36	253
37	214
38	217
39	207
40	263
41	223
42	284
43	239
44	269
45	285
46	285
47	230
48	332
49	294
50	325
51	305
52	339
53	282
54	350
55	324
56	391
57	370
58	369
59	300
60	448
61	382
62	377
63	385
64	438
65	400

n	a(n)
1	2
2	6
3	9
4	16
5	17
6	27
7	26
8	36
9	38
10	48
11	43
12	67
13	59
14	67
15	72
16	88
17	75
18	102
19	86
20	111
21	115
22	123
23	99
24	150
25	137
26	142
27	139
28	169
29	141
30	192
31	166
32	192
33	186
34	189
35	176
36	253
37	214
38	217
39	207
40	263
41	223
42	284
43	239
44	269
45	285
46	285
47	230
48	332
49	294
50	325
51	305
52	339
53	282
54	350
55	324
56	391
57	370
58	369
59	300
60	448
61	382
62	377
63	385
64	438
65	400