A339363 - cp's OEIS frontend

A339363 a(n) = Sum_{k=1..floor(sqrt(n))} floor(sqrt(n-k)).

n	a(n)
1	0
2	1
3	1
4	2
5	3
6	4
7	4
8	4
9	6
10	7
11	8
12	9
13	9
14	9
15	9
16	12
17	13
18	14
19	15
20	16
21	16
22	16
23	16
24	16
25	20
26	21
27	22
28	23
29	24
30	25
31	25
32	25
33	25
34	25
35	25
36	30
37	31
38	32
39	33
40	34
41	35
42	36
43	36
44	36
45	36
46	36
47	36
48	36
49	42
50	43
51	44
52	45
53	46
54	47
55	48
56	49
57	49
58	49
59	49
60	49
61	49
62	49
63	49
64	56
65	57
66	58
67	59
68	60
69	61
70	62
71	63
72	64
73	64
74	64

[0, 1, 1, 2, 3, 4, 4, 4, 6, 7, 8, 9, 9, 9, 9, 12, 13, 14, 15, 16, 16, 16, 16, 16, 20, 21, 22, 23, 24, 25, 25, 25, 25, 25, 25, 30, 31, 32, 33, 34, 35, 36, 36, 36, 36, 36, 36, 36, 42, 43, 44, 45, 46, 47, 48, 49, 49, 49, 49, 49, 49, 49, 49, 56, 57, 58, 59, 60, 61, 62, 63, 64, 64, 64]

cp's OEIS Frontend

A339363 a(n) = Sum_{k=1..floor(sqrt(n))} floor(sqrt(n-k)).

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	2
5	3
6	4
7	4
8	4
9	6
10	7
11	8
12	9
13	9
14	9
15	9
16	12
17	13
18	14
19	15
20	16
21	16
22	16
23	16
24	16
25	20
26	21
27	22
28	23
29	24
30	25
31	25
32	25
33	25
34	25
35	25
36	30
37	31
38	32
39	33
40	34
41	35
42	36
43	36
44	36
45	36
46	36
47	36
48	36
49	42
50	43
51	44
52	45
53	46
54	47
55	48
56	49
57	49
58	49
59	49
60	49
61	49
62	49
63	49
64	56
65	57
66	58
67	59
68	60
69	61
70	62
71	63
72	64
73	64
74	64

n	a(n)
1	0
2	1
3	1
4	2
5	3
6	4
7	4
8	4
9	6
10	7
11	8
12	9
13	9
14	9
15	9
16	12
17	13
18	14
19	15
20	16
21	16
22	16
23	16
24	16
25	20
26	21
27	22
28	23
29	24
30	25
31	25
32	25
33	25
34	25
35	25
36	30
37	31
38	32
39	33
40	34
41	35
42	36
43	36
44	36
45	36
46	36
47	36
48	36
49	42
50	43
51	44
52	45
53	46
54	47
55	48
56	49
57	49
58	49
59	49
60	49
61	49
62	49
63	49
64	56
65	57
66	58
67	59
68	60
69	61
70	62
71	63
72	64
73	64
74	64

n	a(n)
1	0
2	1
3	1
4	2
5	3
6	4
7	4
8	4
9	6
10	7
11	8
12	9
13	9
14	9
15	9
16	12
17	13
18	14
19	15
20	16
21	16
22	16
23	16
24	16
25	20
26	21
27	22
28	23
29	24
30	25
31	25
32	25
33	25
34	25
35	25
36	30
37	31
38	32
39	33
40	34
41	35
42	36
43	36
44	36
45	36
46	36
47	36
48	36
49	42
50	43
51	44
52	45
53	46
54	47
55	48
56	49
57	49
58	49
59	49
60	49
61	49
62	49
63	49
64	56
65	57
66	58
67	59
68	60
69	61
70	62
71	63
72	64
73	64
74	64