A131106 - cp's OEIS frontend

A131106 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 numerators.

n	a(n)
1	1
2	1
3	0
4	1
5	1
6	0
7	1
8	4
9	3
10	0
11	1
12	3
13	4
14	1
15	0
16	1
17	8
18	27
19	32
20	5
21	0
22	1
23	5
24	48
25	27
26	80
27	3
28	0
29	1
30	12
31	25
32	256
33	405
34	64
35	7
36	0
37	1
38	7
39	108
40	125
41	256
42	729
43	448
44	1
45	0
46	1
47	16
48	147
49	864
50	3125
51	6144
52	5103
53	1024
54	9
55	0
56	1
57	9
58	64
59	343
60	6480
61	3125
62	28672
63	2187
64	256
65	5
66	0
67	1
68	20
69	243
70	2048
71	12005

[1, 1, 0, 1, 1, 0, 1, 4, 3, 0, 1, 3, 4, 1, 0, 1, 8, 27, 32, 5, 0, 1, 5, 48, 27, 80, 3, 0, 1, 12, 25, 256, 405, 64, 7, 0, 1, 7, 108, 125, 256, 729, 448, 1, 0, 1, 16, 147, 864, 3125, 6144, 5103, 1024, 9, 0, 1, 9, 64, 343, 6480, 3125, 28672, 2187, 256, 5, 0, 1, 20, 243, 2048, 12005]

cp's OEIS Frontend

A131106 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 numerators.

Table of values

List of values