A324592 - cp's OEIS frontend

A324592 Square array T(n, k) read by diagonals, n > 0, k > 0; for any number m > 0 with prime factorization Product_{i > 0} prime(i)^e(i), let f(m) = Sum_{i > 0} e(i) * sqrt(A005117(i)); f establishes a bijection between the positive numbers and the finite sums of square roots of squarefree numbers; let g be the inverse of f; T(n, k) = g(f(n) * f(k)).

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	1
12	4
13	4
14	4
15	1
16	1
17	5
18	9
19	9
20	5
21	1
22	1
23	6
24	11
25	16
26	11
27	6
28	1
29	1
30	7
31	12
32	25
33	25
34	12
35	7
36	1
37	1
38	8
39	17
40	36
41	8
42	36
43	17
44	8
45	1
46	1
47	9
48	27
49	49
50	55
51	55
52	49
53	27
54	9
55	1
56	1
57	10
58	16
59	64
60	31
61	72
62	31
63	64
64	16
65	10
66	1
67	1
68	11
69	33
70	81
71	125
72	119
73	119
74	125

[1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 4, 4, 1, 1, 5, 9, 9, 5, 1, 1, 6, 11, 16, 11, 6, 1, 1, 7, 12, 25, 25, 12, 7, 1, 1, 8, 17, 36, 8, 36, 17, 8, 1, 1, 9, 27, 49, 55, 55, 49, 27, 9, 1, 1, 10, 16, 64, 31, 72, 31, 64, 16, 10, 1, 1, 11, 33, 81, 125, 119, 119, 125]

cp's OEIS Frontend

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	1
12	4
13	4
14	4
15	1
16	1
17	5
18	9
19	9
20	5
21	1
22	1
23	6
24	11
25	16
26	11
27	6
28	1
29	1
30	7
31	12
32	25
33	25
34	12
35	7
36	1
37	1
38	8
39	17
40	36
41	8
42	36
43	17
44	8
45	1
46	1
47	9
48	27
49	49
50	55
51	55
52	49
53	27
54	9
55	1
56	1
57	10
58	16
59	64
60	31
61	72
62	31
63	64
64	16
65	10
66	1
67	1
68	11
69	33
70	81
71	125
72	119
73	119
74	125

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	1
12	4
13	4
14	4
15	1
16	1
17	5
18	9
19	9
20	5
21	1
22	1
23	6
24	11
25	16
26	11
27	6
28	1
29	1
30	7
31	12
32	25
33	25
34	12
35	7
36	1
37	1
38	8
39	17
40	36
41	8
42	36
43	17
44	8
45	1
46	1
47	9
48	27
49	49
50	55
51	55
52	49
53	27
54	9
55	1
56	1
57	10
58	16
59	64
60	31
61	72
62	31
63	64
64	16
65	10
66	1
67	1
68	11
69	33
70	81
71	125
72	119
73	119
74	125

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	1
12	4
13	4
14	4
15	1
16	1
17	5
18	9
19	9
20	5
21	1
22	1
23	6
24	11
25	16
26	11
27	6
28	1
29	1
30	7
31	12
32	25
33	25
34	12
35	7
36	1
37	1
38	8
39	17
40	36
41	8
42	36
43	17
44	8
45	1
46	1
47	9
48	27
49	49
50	55
51	55
52	49
53	27
54	9
55	1
56	1
57	10
58	16
59	64
60	31
61	72
62	31
63	64
64	16
65	10
66	1
67	1
68	11
69	33
70	81
71	125
72	119
73	119
74	125