A343249 - cp's OEIS frontend

A343249 a(n) is the least k0 <= n such that v_2(n), the 2-adic order of n, can be obtained by the formula: v_2(n) = log_2(n / L_2(k0, n)), where L_2(k0, n) is the lowest common denominator of the elements of the set S_2(k0, n) = {(1/n)*binomial(n, k), with 0 < k <= k0 such that k is not divisible by 2} or 0 if no such k0 exists.

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

[1, 1, 3, 1, 5, 3, 7, 1, 9, 5, 11, 3, 13, 7, 5, 1, 17, 9, 19, 5, 7, 11, 23, 3, 25, 13, 27, 7, 29, 5, 31, 1, 11, 17, 7, 9, 37, 19, 13, 5, 41, 7, 43, 11, 9, 23, 47, 3, 49, 25, 17, 13, 53, 27, 11, 7, 19, 29, 59, 5, 61, 31, 9, 1, 13, 11, 67, 17, 23, 7, 71, 9, 73, 37, 25, 19, 11, 13, 79, 5]

cp's OEIS Frontend

Table of values

List of values

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

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

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