A228653 - cp's OEIS frontend

A228653 Numbers m such that if an urn contains m balls, with distinct positive numbers for each of c colors, for some c > 1 there exists a combination of c colors such that it is equally probable for c balls randomly selected from the urn to all be either the same color or distinct colors.

n	a(n)
1	4
2	8
3	9
4	11
5	12
6	16
7	25
8	29
9	36
10	46
11	48
12	49
13	55
14	57
15	64
16	66
17	81
18	88
19	89
20	97
21	99
22	100
23	120
24	121
25	144
26	145
27	147
28	156
29	162
30	164
31	165
32	166
33	169
34	176
35	196
36	217
37	225

[4, 8, 9, 11, 12, 16, 25, 29, 36, 46, 48, 49, 55, 57, 64, 66, 81, 88, 89, 97, 99, 100, 120, 121, 144, 145, 147, 156, 162, 164, 165, 166, 169, 176, 196, 217, 225]

cp's OEIS Frontend

A228653 Numbers m such that if an urn contains m balls, with distinct positive numbers for each of c colors, for some c > 1 there exists a combination of c colors such that it is equally probable for c balls randomly selected from the urn to all be either the same color or distinct colors.

Table of values

List of values

n	a(n)
1	4
2	8
3	9
4	11
5	12
6	16
7	25
8	29
9	36
10	46
11	48
12	49
13	55
14	57
15	64
16	66
17	81
18	88
19	89
20	97
21	99
22	100
23	120
24	121
25	144
26	145
27	147
28	156
29	162
30	164
31	165
32	166
33	169
34	176
35	196
36	217
37	225

n	a(n)
1	4
2	8
3	9
4	11
5	12
6	16
7	25
8	29
9	36
10	46
11	48
12	49
13	55
14	57
15	64
16	66
17	81
18	88
19	89
20	97
21	99
22	100
23	120
24	121
25	144
26	145
27	147
28	156
29	162
30	164
31	165
32	166
33	169
34	176
35	196
36	217
37	225

n	a(n)
1	4
2	8
3	9
4	11
5	12
6	16
7	25
8	29
9	36
10	46
11	48
12	49
13	55
14	57
15	64
16	66
17	81
18	88
19	89
20	97
21	99
22	100
23	120
24	121
25	144
26	145
27	147
28	156
29	162
30	164
31	165
32	166
33	169
34	176
35	196
36	217
37	225