A177436 - cp's OEIS frontend

A177436 The number of positive integers m for which the exponents of 2 and prime(n) in the prime power factorization of m! are both powers of 2.

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

[7, 7, 6, 3, 4, 4, 3, 4, 8, 10, 2, 2, 2, 4, 6, 8, 10, 3, 2, 2, 2, 2, 4, 4, 4, 5, 6, 6, 6, 14, 3, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 12, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6]

cp's OEIS Frontend

A177436 The number of positive integers m for which the exponents of 2 and prime(n) in the prime power factorization of m! are both powers of 2.

Table of values

List of values

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

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

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