A323519 - cp's OEIS frontend

A323519 a(n) is the number of ways to fill a square matrix with the multiset of prime factors of n, if the number of prime factors (counted with multiplicity) is a perfect square, and a(n) = 0 otherwise.

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

[1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 4, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 6, 1, 0, 0, 4, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 4, 0, 4, 0, 0, 1, 12, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 12, 0, 0]

cp's OEIS Frontend

A323519 a(n) is the number of ways to fill a square matrix with the multiset of prime factors of n, if the number of prime factors (counted with multiplicity) is a perfect square, and a(n) = 0 otherwise.

Table of values

List of values

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

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

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