A048299 - cp's OEIS frontend

A048299 Let b(n) = A048273(n) = maximal number of prime factors of C(n,k) for k=0..n; sequence gives smallest value of k achieving b(n).

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

[0, 1, 1, 2, 2, 1, 2, 4, 3, 4, 4, 6, 6, 5, 4, 8, 8, 6, 6, 8, 8, 8, 8, 10, 5, 6, 12, 10, 10, 9, 10, 12, 12, 16, 15, 16, 16, 18, 18, 20, 20, 18, 18, 20, 16, 13, 16, 19, 20, 15, 20, 17, 18, 21, 24, 20, 21, 21, 21, 28, 29, 21, 21, 32, 32, 28, 29, 32, 32, 32, 28, 28, 29, 32, 32, 32, 35, 32]

cp's OEIS Frontend

A048299 Let b(n) = A048273(n) = maximal number of prime factors of C(n,k) for k=0..n; sequence gives smallest value of k achieving b(n).

Table of values

List of values

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

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

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