A309242 - cp's OEIS frontend

A309242 a(n) is the smallest integer m such that the equality Product_{i=1..n} (x_i + m) = (m+n)!/m! for integers x_1, ..., x_n from N = { 1, 2, ..., n } guarantees that they form a permutation of N.

n	a(n)
1	0
2	0
3	0
4	1
5	2
6	5
7	6
8	9
9	10
10	16
11	18
12	27
13	28
14	33
15	45
16	45
17	45
18	56
19	78
20	81
21	108
22	120
23	136
24	140
25	180
26	180
27	192
28	209
29	210
30	280
31	280
32	286
33	325
34	325
35	380
36	392
37	527
38	527
39	527
40	625
41	650
42	650
43	703
44	703

[0, 0, 0, 1, 2, 5, 6, 9, 10, 16, 18, 27, 28, 33, 45, 45, 45, 56, 78, 81, 108, 120, 136, 140, 180, 180, 192, 209, 210, 280, 280, 286, 325, 325, 380, 392, 527, 527, 527, 625, 650, 650, 703, 703]

cp's OEIS Frontend

A309242 a(n) is the smallest integer m such that the equality Product_{i=1..n} (x_i + m) = (m+n)!/m! for integers x_1, ..., x_n from N = { 1, 2, ..., n } guarantees that they form a permutation of N.

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	1
5	2
6	5
7	6
8	9
9	10
10	16
11	18
12	27
13	28
14	33
15	45
16	45
17	45
18	56
19	78
20	81
21	108
22	120
23	136
24	140
25	180
26	180
27	192
28	209
29	210
30	280
31	280
32	286
33	325
34	325
35	380
36	392
37	527
38	527
39	527
40	625
41	650
42	650
43	703
44	703

n	a(n)
1	0
2	0
3	0
4	1
5	2
6	5
7	6
8	9
9	10
10	16
11	18
12	27
13	28
14	33
15	45
16	45
17	45
18	56
19	78
20	81
21	108
22	120
23	136
24	140
25	180
26	180
27	192
28	209
29	210
30	280
31	280
32	286
33	325
34	325
35	380
36	392
37	527
38	527
39	527
40	625
41	650
42	650
43	703
44	703

n	a(n)
1	0
2	0
3	0
4	1
5	2
6	5
7	6
8	9
9	10
10	16
11	18
12	27
13	28
14	33
15	45
16	45
17	45
18	56
19	78
20	81
21	108
22	120
23	136
24	140
25	180
26	180
27	192
28	209
29	210
30	280
31	280
32	286
33	325
34	325
35	380
36	392
37	527
38	527
39	527
40	625
41	650
42	650
43	703
44	703