A048685 - cp's OEIS frontend

A048685 a(n) is the number of times the maximum value of Omega(binomial(n, k)) occurs in the n-th row of Pascal's triangle, where Omega(n) is the number of prime divisors of n counted with multiplicity (A001222).

n	a(n)
1	2
2	1
3	2
4	3
5	2
6	1
7	4
8	2
9	6
10	3
11	4
12	2
13	2
14	1
15	2
16	4
17	4
18	2
19	8
20	2
21	2
22	3
23	8
24	2
25	2
26	3
27	2
28	3
29	2
30	1
31	2
32	4
33	2
34	4
35	8
36	2
37	2
38	2
39	12
40	2
41	6
42	2
43	2
44	2
45	2
46	1
47	2
48	2
49	2
50	4
51	8
52	2
53	4
54	2
55	4
56	2
57	2
58	5
59	4
60	2
61	4
62	1
63	18
64	2
65	8
66	2
67	2
68	10
69	8
70	2
71	2
72	6
73	2
74	2
75	2
76	2
77	4
78	2
79	10
80	8
81	4
82	4
83	2
84	6
85	2
86	3
87	2
88	2
89	4
90	2
91	2
92	2
93	2
94	1
95	2
96	4
97	4
98	2
99	4
100	2
101	4
102	4

[2, 1, 2, 3, 2, 1, 4, 2, 6, 3, 4, 2, 2, 1, 2, 4, 4, 2, 8, 2, 2, 3, 8, 2, 2, 3, 2, 3, 2, 1, 2, 4, 2, 4, 8, 2, 2, 2, 12, 2, 6, 2, 2, 2, 2, 1, 2, 2, 2, 4, 8, 2, 4, 2, 4, 2, 2, 5, 4, 2, 4, 1, 18, 2, 8, 2, 2, 10, 8, 2, 2, 6, 2, 2, 2, 2, 4, 2, 10, 8, 4, 4, 2, 6, 2, 3, 2, 2, 4, 2, 2, 2, 2, 1, 2, 4, 4, 2, 4, 2, 4, 4]

cp's OEIS Frontend

A048685 a(n) is the number of times the maximum value of Omega(binomial(n, k)) occurs in the n-th row of Pascal's triangle, where Omega(n) is the number of prime divisors of n counted with multiplicity (A001222).

Table of values

List of values

n	a(n)
1	2
2	1
3	2
4	3
5	2
6	1
7	4
8	2
9	6
10	3
11	4
12	2
13	2
14	1
15	2
16	4
17	4
18	2
19	8
20	2
21	2
22	3
23	8
24	2
25	2
26	3
27	2
28	3
29	2
30	1
31	2
32	4
33	2
34	4
35	8
36	2
37	2
38	2
39	12
40	2
41	6
42	2
43	2
44	2
45	2
46	1
47	2
48	2
49	2
50	4
51	8
52	2
53	4
54	2
55	4
56	2
57	2
58	5
59	4
60	2
61	4
62	1
63	18
64	2
65	8
66	2
67	2
68	10
69	8
70	2
71	2
72	6
73	2
74	2
75	2
76	2
77	4
78	2
79	10
80	8
81	4
82	4
83	2
84	6
85	2
86	3
87	2
88	2
89	4
90	2
91	2
92	2
93	2
94	1
95	2
96	4
97	4
98	2
99	4
100	2
101	4
102	4

n	a(n)
1	2
2	1
3	2
4	3
5	2
6	1
7	4
8	2
9	6
10	3
11	4
12	2
13	2
14	1
15	2
16	4
17	4
18	2
19	8
20	2
21	2
22	3
23	8
24	2
25	2
26	3
27	2
28	3
29	2
30	1
31	2
32	4
33	2
34	4
35	8
36	2
37	2
38	2
39	12
40	2
41	6
42	2
43	2
44	2
45	2
46	1
47	2
48	2
49	2
50	4
51	8
52	2
53	4
54	2
55	4
56	2
57	2
58	5
59	4
60	2
61	4
62	1
63	18
64	2
65	8
66	2
67	2
68	10
69	8
70	2
71	2
72	6
73	2
74	2
75	2
76	2
77	4
78	2
79	10
80	8
81	4
82	4
83	2
84	6
85	2
86	3
87	2
88	2
89	4
90	2
91	2
92	2
93	2
94	1
95	2
96	4
97	4
98	2
99	4
100	2
101	4
102	4

n	a(n)
1	2
2	1
3	2
4	3
5	2
6	1
7	4
8	2
9	6
10	3
11	4
12	2
13	2
14	1
15	2
16	4
17	4
18	2
19	8
20	2
21	2
22	3
23	8
24	2
25	2
26	3
27	2
28	3
29	2
30	1
31	2
32	4
33	2
34	4
35	8
36	2
37	2
38	2
39	12
40	2
41	6
42	2
43	2
44	2
45	2
46	1
47	2
48	2
49	2
50	4
51	8
52	2
53	4
54	2
55	4
56	2
57	2
58	5
59	4
60	2
61	4
62	1
63	18
64	2
65	8
66	2
67	2
68	10
69	8
70	2
71	2
72	6
73	2
74	2
75	2
76	2
77	4
78	2
79	10
80	8
81	4
82	4
83	2
84	6
85	2
86	3
87	2
88	2
89	4
90	2
91	2
92	2
93	2
94	1
95	2
96	4
97	4
98	2
99	4
100	2
101	4
102	4