A353010 - cp's OEIS frontend

A353010 a(n) = maximal d such that Product_{k=0..m} binomial(m,k) is divisible by m^(m+d), where m = A276710(n).

n	a(n)
1	0
2	0
3	3
4	0
5	1
6	9
7	49
8	0
9	21
10	19
11	31
12	73
13	0
14	61
15	57
16	16
17	4
18	46
19	13
20	43
21	25
22	0
23	20
24	106
25	1
26	57
27	172
28	81
29	43
30	66
31	25
32	29
33	51
34	41
35	38
36	140
37	80
38	1
39	71
40	0
41	0
42	34
43	117
44	59
45	199
46	134
47	208
48	181
49	9
50	55
51	259
52	202
53	114
54	28
55	263
56	100
57	145
58	32
59	157
60	217
61	60
62	121
63	36
64	73
65	86
66	94
67	19
68	67
69	154
70	21
71	40
72	73
73	57
74	167
75	392
76	135
77	256

[0, 0, 3, 0, 1, 9, 49, 0, 21, 19, 31, 73, 0, 61, 57, 16, 4, 46, 13, 43, 25, 0, 20, 106, 1, 57, 172, 81, 43, 66, 25, 29, 51, 41, 38, 140, 80, 1, 71, 0, 0, 34, 117, 59, 199, 134, 208, 181, 9, 55, 259, 202, 114, 28, 263, 100, 145, 32, 157, 217, 60, 121, 36, 73, 86, 94, 19, 67, 154, 21, 40, 73, 57, 167, 392, 135, 256]

cp's OEIS Frontend

A353010 a(n) = maximal d such that Product_{k=0..m} binomial(m,k) is divisible by m^(m+d), where m = A276710(n).

Table of values

List of values

n	a(n)
1	0
2	0
3	3
4	0
5	1
6	9
7	49
8	0
9	21
10	19
11	31
12	73
13	0
14	61
15	57
16	16
17	4
18	46
19	13
20	43
21	25
22	0
23	20
24	106
25	1
26	57
27	172
28	81
29	43
30	66
31	25
32	29
33	51
34	41
35	38
36	140
37	80
38	1
39	71
40	0
41	0
42	34
43	117
44	59
45	199
46	134
47	208
48	181
49	9
50	55
51	259
52	202
53	114
54	28
55	263
56	100
57	145
58	32
59	157
60	217
61	60
62	121
63	36
64	73
65	86
66	94
67	19
68	67
69	154
70	21
71	40
72	73
73	57
74	167
75	392
76	135
77	256

n	a(n)
1	0
2	0
3	3
4	0
5	1
6	9
7	49
8	0
9	21
10	19
11	31
12	73
13	0
14	61
15	57
16	16
17	4
18	46
19	13
20	43
21	25
22	0
23	20
24	106
25	1
26	57
27	172
28	81
29	43
30	66
31	25
32	29
33	51
34	41
35	38
36	140
37	80
38	1
39	71
40	0
41	0
42	34
43	117
44	59
45	199
46	134
47	208
48	181
49	9
50	55
51	259
52	202
53	114
54	28
55	263
56	100
57	145
58	32
59	157
60	217
61	60
62	121
63	36
64	73
65	86
66	94
67	19
68	67
69	154
70	21
71	40
72	73
73	57
74	167
75	392
76	135
77	256

n	a(n)
1	0
2	0
3	3
4	0
5	1
6	9
7	49
8	0
9	21
10	19
11	31
12	73
13	0
14	61
15	57
16	16
17	4
18	46
19	13
20	43
21	25
22	0
23	20
24	106
25	1
26	57
27	172
28	81
29	43
30	66
31	25
32	29
33	51
34	41
35	38
36	140
37	80
38	1
39	71
40	0
41	0
42	34
43	117
44	59
45	199
46	134
47	208
48	181
49	9
50	55
51	259
52	202
53	114
54	28
55	263
56	100
57	145
58	32
59	157
60	217
61	60
62	121
63	36
64	73
65	86
66	94
67	19
68	67
69	154
70	21
71	40
72	73
73	57
74	167
75	392
76	135
77	256