A131107 - cp's OEIS frontend

A131107 Rectangular array read by antidiagonals: k objects are each put into one of n boxes, independently with equal probability. a(n, k) is the expected number of boxes with exactly one object (n, k >= 1). Sequence gives the denominators.

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	3
9	4
10	1
11	1
12	2
13	3
14	2
15	1
16	1
17	5
18	16
19	27
20	16
21	1
22	1
23	3
24	25
25	16
26	81
27	16
28	1
29	1
30	7
31	12
32	125
33	256
34	81
35	64
36	1
37	1
38	4
39	49
40	54
41	125
42	512
43	729
44	16
45	1
46	1
47	9
48	64
49	343
50	1296
51	3125
52	4096
53	2187
54	256
55	1
56	1
57	5
58	27
59	128
60	2401
61	1296
62	15625
63	2048
64	729
65	256
66	1
67	1
68	11
69	100
70	729
71	4096

[1, 1, 1, 1, 1, 1, 1, 3, 4, 1, 1, 2, 3, 2, 1, 1, 5, 16, 27, 16, 1, 1, 3, 25, 16, 81, 16, 1, 1, 7, 12, 125, 256, 81, 64, 1, 1, 4, 49, 54, 125, 512, 729, 16, 1, 1, 9, 64, 343, 1296, 3125, 4096, 2187, 256, 1, 1, 5, 27, 128, 2401, 1296, 15625, 2048, 729, 256, 1, 1, 11, 100, 729, 4096]

cp's OEIS Frontend

A131107 Rectangular array read by antidiagonals: k objects are each put into one of n boxes, independently with equal probability. a(n, k) is the expected number of boxes with exactly one object (n, k >= 1). Sequence gives the denominators.

Table of values

List of values