A141404 - cp's OEIS frontend

A141404 Irregular array: For any prime p that divides n, if the highest power of the prime p that divides n is p^b(n,p), then p^b(n,p) = Sum_{k=1..m} a(n,k), where m is the order of the prime-power p^b(n,p) among the prime-powers (each being the highest power of each prime q that divides n, where q divides n) when they are ordered by size. Row 1 = (1).

n	a(n)
1	1
2	2
3	3
4	4
5	5
6	2
7	1
8	7
9	8
10	9
11	2
12	3
13	11
14	3
15	1
16	13
17	2
18	5
19	3
20	2
21	16
22	17
23	2
24	7
25	19
26	4
27	1
28	3
29	4
30	2
31	9
32	23
33	3
34	5
35	25
36	2
37	11
38	27
39	4
40	3
41	29
42	2
43	1
44	2
45	31
46	32
47	3
48	8
49	2
50	15
51	5
52	2
53	4
54	5
55	37
56	2
57	17
58	3
59	10
60	5
61	3
62	41
63	2
64	1
65	4
66	43
67	4
68	7
69	5
70	4
71	2
72	21
73	47
74	3
75	13
76	49
77	2
78	23
79	3
80	14
81	4
82	9
83	53
84	2
85	25
86	5
87	6
88	7
89	1
90	3
91	16
92	2

[1, 2, 3, 4, 5, 2, 1, 7, 8, 9, 2, 3, 11, 3, 1, 13, 2, 5, 3, 2, 16, 17, 2, 7, 19, 4, 1, 3, 4, 2, 9, 23, 3, 5, 25, 2, 11, 27, 4, 3, 29, 2, 1, 2, 31, 32, 3, 8, 2, 15, 5, 2, 4, 5, 37, 2, 17, 3, 10, 5, 3, 41, 2, 1, 4, 43, 4, 7, 5, 4, 2, 21, 47, 3, 13, 49, 2, 23, 3, 14, 4, 9, 53, 2, 25, 5, 6, 7, 1, 3, 16, 2]

cp's OEIS Frontend

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	4
5	5
6	2
7	1
8	7
9	8
10	9
11	2
12	3
13	11
14	3
15	1
16	13
17	2
18	5
19	3
20	2
21	16
22	17
23	2
24	7
25	19
26	4
27	1
28	3
29	4
30	2
31	9
32	23
33	3
34	5
35	25
36	2
37	11
38	27
39	4
40	3
41	29
42	2
43	1
44	2
45	31
46	32
47	3
48	8
49	2
50	15
51	5
52	2
53	4
54	5
55	37
56	2
57	17
58	3
59	10
60	5
61	3
62	41
63	2
64	1
65	4
66	43
67	4
68	7
69	5
70	4
71	2
72	21
73	47
74	3
75	13
76	49
77	2
78	23
79	3
80	14
81	4
82	9
83	53
84	2
85	25
86	5
87	6
88	7
89	1
90	3
91	16
92	2

n	a(n)
1	1
2	2
3	3
4	4
5	5
6	2
7	1
8	7
9	8
10	9
11	2
12	3
13	11
14	3
15	1
16	13
17	2
18	5
19	3
20	2
21	16
22	17
23	2
24	7
25	19
26	4
27	1
28	3
29	4
30	2
31	9
32	23
33	3
34	5
35	25
36	2
37	11
38	27
39	4
40	3
41	29
42	2
43	1
44	2
45	31
46	32
47	3
48	8
49	2
50	15
51	5
52	2
53	4
54	5
55	37
56	2
57	17
58	3
59	10
60	5
61	3
62	41
63	2
64	1
65	4
66	43
67	4
68	7
69	5
70	4
71	2
72	21
73	47
74	3
75	13
76	49
77	2
78	23
79	3
80	14
81	4
82	9
83	53
84	2
85	25
86	5
87	6
88	7
89	1
90	3
91	16
92	2

n	a(n)
1	1
2	2
3	3
4	4
5	5
6	2
7	1
8	7
9	8
10	9
11	2
12	3
13	11
14	3
15	1
16	13
17	2
18	5
19	3
20	2
21	16
22	17
23	2
24	7
25	19
26	4
27	1
28	3
29	4
30	2
31	9
32	23
33	3
34	5
35	25
36	2
37	11
38	27
39	4
40	3
41	29
42	2
43	1
44	2
45	31
46	32
47	3
48	8
49	2
50	15
51	5
52	2
53	4
54	5
55	37
56	2
57	17
58	3
59	10
60	5
61	3
62	41
63	2
64	1
65	4
66	43
67	4
68	7
69	5
70	4
71	2
72	21
73	47
74	3
75	13
76	49
77	2
78	23
79	3
80	14
81	4
82	9
83	53
84	2
85	25
86	5
87	6
88	7
89	1
90	3
91	16
92	2