A343250 - cp's OEIS frontend

A343250 a(n) is the least k0 <= n such that v_3(n), the 3-adic order of n, can be obtained by the formula: v_3(n) = log_3(n / L_3(k0, n)), where L_3(k0, n) is the lowest common denominator of the elements of the set S_3(k0, n) = {(1/n)*binomial(n, k), with 0 < k <= k0 such that k is not divisible by 3} or 0 if no such k0 exists.

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

[1, 2, 1, 4, 5, 2, 7, 8, 1, 5, 11, 4, 13, 7, 5, 16, 17, 2, 19, 5, 7, 11, 23, 8, 25, 13, 1, 7, 29, 5, 31, 32, 11, 17, 7, 4, 37, 19, 13, 8, 41, 7, 43, 11, 5, 23, 47, 16, 49, 25, 17, 13, 53, 2, 11, 8, 19, 29, 59, 5, 61, 31, 7, 64, 13, 11, 67, 17, 23, 7, 71, 8, 73, 37, 25, 19, 11, 13, 79, 16]

cp's OEIS Frontend

Table of values

List of values

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

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

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