A367116 - cp's OEIS frontend

A367116 a(0) = 1; for n >= 1, a(n) is the largest number m = Product_{j=1..k} (b(j)-1) where {b(1), ..., b(k)} is a vector of positive integers such that Sum_{i=1..k} b(i)^2 = n.

n	a(n)
0	1
1	0
2	0
3	0
4	1
5	0
6	0
7	0
8	1
9	2
10	0
11	0
12	1
13	2
14	0
15	0
16	3
17	2
18	4
19	0
20	3
21	2
22	4
23	0
24	3
25	6
26	4
27	8
28	3
29	6
30	4
31	8
32	9
33	6
34	12
35	8
36	16
37	6
38	12
39	8
40	16
41	18
42	12
43	24
44	16
45	32
46	12
47	24
48	27
49	32
50	36
51	24
52	48
53	32
54	64
55	24
56	48
57	54
58	64
59	72
60	48
61	96
62	64
63	128
64	81
65	96
66	108
67	128
68	144
69	96
70	192
71	128
72	256

[1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 3, 2, 4, 0, 3, 2, 4, 0, 3, 6, 4, 8, 3, 6, 4, 8, 9, 6, 12, 8, 16, 6, 12, 8, 16, 18, 12, 24, 16, 32, 12, 24, 27, 32, 36, 24, 48, 32, 64, 24, 48, 54, 64, 72, 48, 96, 64, 128, 81, 96, 108, 128, 144, 96, 192, 128, 256]

cp's OEIS Frontend

A367116 a(0) = 1; for n >= 1, a(n) is the largest number m = Product_{j=1..k} (b(j)-1) where {b(1), ..., b(k)} is a vector of positive integers such that Sum_{i=1..k} b(i)^2 = n.

Table of values

List of values

n	a(n)
0	1
1	0
2	0
3	0
4	1
5	0
6	0
7	0
8	1
9	2
10	0
11	0
12	1
13	2
14	0
15	0
16	3
17	2
18	4
19	0
20	3
21	2
22	4
23	0
24	3
25	6
26	4
27	8
28	3
29	6
30	4
31	8
32	9
33	6
34	12
35	8
36	16
37	6
38	12
39	8
40	16
41	18
42	12
43	24
44	16
45	32
46	12
47	24
48	27
49	32
50	36
51	24
52	48
53	32
54	64
55	24
56	48
57	54
58	64
59	72
60	48
61	96
62	64
63	128
64	81
65	96
66	108
67	128
68	144
69	96
70	192
71	128
72	256

n	a(n)
0	1
1	0
2	0
3	0
4	1
5	0
6	0
7	0
8	1
9	2
10	0
11	0
12	1
13	2
14	0
15	0
16	3
17	2
18	4
19	0
20	3
21	2
22	4
23	0
24	3
25	6
26	4
27	8
28	3
29	6
30	4
31	8
32	9
33	6
34	12
35	8
36	16
37	6
38	12
39	8
40	16
41	18
42	12
43	24
44	16
45	32
46	12
47	24
48	27
49	32
50	36
51	24
52	48
53	32
54	64
55	24
56	48
57	54
58	64
59	72
60	48
61	96
62	64
63	128
64	81
65	96
66	108
67	128
68	144
69	96
70	192
71	128
72	256

n	a(n)
0	1
1	0
2	0
3	0
4	1
5	0
6	0
7	0
8	1
9	2
10	0
11	0
12	1
13	2
14	0
15	0
16	3
17	2
18	4
19	0
20	3
21	2
22	4
23	0
24	3
25	6
26	4
27	8
28	3
29	6
30	4
31	8
32	9
33	6
34	12
35	8
36	16
37	6
38	12
39	8
40	16
41	18
42	12
43	24
44	16
45	32
46	12
47	24
48	27
49	32
50	36
51	24
52	48
53	32
54	64
55	24
56	48
57	54
58	64
59	72
60	48
61	96
62	64
63	128
64	81
65	96
66	108
67	128
68	144
69	96
70	192
71	128
72	256