A343251 - cp's OEIS frontend

A343251 a(n) is the least k0 <= n such that v_5(n), the 5-adic order of n, can be obtained by the formula: v_5(n) = log_5(n / L_5(k0, n)), where L_5(k0, n) is the lowest common denominator of the elements of the set S_5(k0, n) = {(1/n)*binomial(n, k), with 0 < k <= k0 such that k is not divisible by 5} or 0 if no such k0 exists.

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

[1, 2, 3, 4, 1, 3, 7, 8, 9, 2, 11, 4, 13, 7, 3, 16, 17, 9, 19, 4, 7, 11, 23, 8, 1, 13, 27, 7, 29, 3, 31, 32, 11, 17, 7, 9, 37, 19, 13, 8, 41, 7, 43, 11, 9, 23, 47, 16, 49, 2, 17, 13, 53, 27, 11, 8, 19, 29, 59, 4, 61, 31, 9, 64, 13, 11, 67, 17, 23, 7, 71, 9, 73, 37, 3, 19, 11, 13, 79, 16]

cp's OEIS Frontend

Table of values

List of values

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

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

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