A329264 - cp's OEIS frontend

A329264 a(n) is the number of solutions of the infinite Diophantine equation Sum_{j>0} j^r*(k_j)^2 = n with k_j integers and r = 2.

n	a(n)
0	1
1	2
2	0
3	0
4	4
5	4
6	0
7	0
8	4
9	4
10	4
11	0
12	0
13	12
14	8
15	0
16	6
17	16
18	4
19	0
20	16
21	8
22	8
23	0
24	8
25	24
26	20
27	0
28	0
29	52
30	24
31	0
32	12
33	32
34	28
35	8
36	24
37	12
38	48
39	16
40	24
41	68
42	48
43	8
44	16
45	96
46	32
47	16
48	8
49	68
50	96
51	32
52	40
53	68
54	128
55	32
56	80
57	88
58	76
59	48
60	32
61	156
62	104
63	64
64	8
65	224
66	192
67	40
68	88
69	152
70	208

[1, 2, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 12, 8, 0, 6, 16, 4, 0, 16, 8, 8, 0, 8, 24, 20, 0, 0, 52, 24, 0, 12, 32, 28, 8, 24, 12, 48, 16, 24, 68, 48, 8, 16, 96, 32, 16, 8, 68, 96, 32, 40, 68, 128, 32, 80, 88, 76, 48, 32, 156, 104, 64, 8, 224, 192, 40, 88, 152, 208]

cp's OEIS Frontend

A329264 a(n) is the number of solutions of the infinite Diophantine equation Sum_{j>0} j^r*(k_j)^2 = n with k_j integers and r = 2.

Table of values

List of values

n	a(n)
0	1
1	2
2	0
3	0
4	4
5	4
6	0
7	0
8	4
9	4
10	4
11	0
12	0
13	12
14	8
15	0
16	6
17	16
18	4
19	0
20	16
21	8
22	8
23	0
24	8
25	24
26	20
27	0
28	0
29	52
30	24
31	0
32	12
33	32
34	28
35	8
36	24
37	12
38	48
39	16
40	24
41	68
42	48
43	8
44	16
45	96
46	32
47	16
48	8
49	68
50	96
51	32
52	40
53	68
54	128
55	32
56	80
57	88
58	76
59	48
60	32
61	156
62	104
63	64
64	8
65	224
66	192
67	40
68	88
69	152
70	208

n	a(n)
0	1
1	2
2	0
3	0
4	4
5	4
6	0
7	0
8	4
9	4
10	4
11	0
12	0
13	12
14	8
15	0
16	6
17	16
18	4
19	0
20	16
21	8
22	8
23	0
24	8
25	24
26	20
27	0
28	0
29	52
30	24
31	0
32	12
33	32
34	28
35	8
36	24
37	12
38	48
39	16
40	24
41	68
42	48
43	8
44	16
45	96
46	32
47	16
48	8
49	68
50	96
51	32
52	40
53	68
54	128
55	32
56	80
57	88
58	76
59	48
60	32
61	156
62	104
63	64
64	8
65	224
66	192
67	40
68	88
69	152
70	208

n	a(n)
0	1
1	2
2	0
3	0
4	4
5	4
6	0
7	0
8	4
9	4
10	4
11	0
12	0
13	12
14	8
15	0
16	6
17	16
18	4
19	0
20	16
21	8
22	8
23	0
24	8
25	24
26	20
27	0
28	0
29	52
30	24
31	0
32	12
33	32
34	28
35	8
36	24
37	12
38	48
39	16
40	24
41	68
42	48
43	8
44	16
45	96
46	32
47	16
48	8
49	68
50	96
51	32
52	40
53	68
54	128
55	32
56	80
57	88
58	76
59	48
60	32
61	156
62	104
63	64
64	8
65	224
66	192
67	40
68	88
69	152
70	208