A335603 - cp's OEIS frontend

A335603 a(n) = p*q where p is the sequential number (or PrimePi, A000720) of the largest prime divisor of n, and q is the maximal exponent in the canonical representation of n (A051903).

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

[0, 1, 2, 2, 3, 2, 4, 3, 4, 3, 5, 4, 6, 4, 3, 4, 7, 4, 8, 6, 4, 5, 9, 6, 6, 6, 6, 8, 10, 3, 11, 5, 5, 7, 4, 4, 12, 8, 6, 9, 13, 4, 14, 10, 6, 9, 15, 8, 8, 6, 7, 12, 16, 6, 5, 12, 8, 10, 17, 6, 18, 11, 8, 6, 6, 5, 19, 14, 9, 4, 20, 6, 21, 12, 6, 16, 5, 6, 22, 12]

cp's OEIS Frontend

A335603 a(n) = p*q where p is the sequential number (or PrimePi, A000720) of the largest prime divisor of n, and q is the maximal exponent in the canonical representation of n (A051903).

Table of values

List of values

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

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

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