A071417 - cp's OEIS frontend

A071417 Triangle of expected coupon collection numbers rounded up; i.e., if aiming to collect part of a set of n coupons, the expected number of random coupons required to receive first the set with exactly k missing.

n	a(n)
0	0
1	1
2	0
3	3
4	1
5	0
6	6
7	3
8	1
9	0
10	9
11	5
12	3
13	1
14	0
15	12
16	7
17	4
18	3
19	1
20	0
21	15
22	9
23	6
24	4
25	3
26	1
27	0
28	19
29	12
30	8
31	6
32	4
33	3
34	1
35	0
36	22
37	14
38	10
39	8
40	6
41	4
42	3
43	1
44	0
45	26
46	17
47	12
48	9
49	7
50	5
51	4
52	3
53	1
54	0
55	30
56	20
57	15
58	11
59	9
60	7
61	5
62	4
63	3
64	1
65	0
66	34
67	23
68	17
69	14
70	11
71	9
72	7
73	5
74	4
75	3
76	1
77	0
78	38
79	26
80	20
81	16
82	13
83	10
84	8
85	7
86	5
87	4
88	3
89	1
90	0
91	42

[0, 1, 0, 3, 1, 0, 6, 3, 1, 0, 9, 5, 3, 1, 0, 12, 7, 4, 3, 1, 0, 15, 9, 6, 4, 3, 1, 0, 19, 12, 8, 6, 4, 3, 1, 0, 22, 14, 10, 8, 6, 4, 3, 1, 0, 26, 17, 12, 9, 7, 5, 4, 3, 1, 0, 30, 20, 15, 11, 9, 7, 5, 4, 3, 1, 0, 34, 23, 17, 14, 11, 9, 7, 5, 4, 3, 1, 0, 38, 26, 20, 16, 13, 10, 8, 7, 5, 4, 3, 1, 0, 42]

cp's OEIS Frontend

A071417 Triangle of expected coupon collection numbers rounded up; i.e., if aiming to collect part of a set of n coupons, the expected number of random coupons required to receive first the set with exactly k missing.

Table of values

List of values

n	a(n)
0	0
1	1
2	0
3	3
4	1
5	0
6	6
7	3
8	1
9	0
10	9
11	5
12	3
13	1
14	0
15	12
16	7
17	4
18	3
19	1
20	0
21	15
22	9
23	6
24	4
25	3
26	1
27	0
28	19
29	12
30	8
31	6
32	4
33	3
34	1
35	0
36	22
37	14
38	10
39	8
40	6
41	4
42	3
43	1
44	0
45	26
46	17
47	12
48	9
49	7
50	5
51	4
52	3
53	1
54	0
55	30
56	20
57	15
58	11
59	9
60	7
61	5
62	4
63	3
64	1
65	0
66	34
67	23
68	17
69	14
70	11
71	9
72	7
73	5
74	4
75	3
76	1
77	0
78	38
79	26
80	20
81	16
82	13
83	10
84	8
85	7
86	5
87	4
88	3
89	1
90	0
91	42

n	a(n)
0	0
1	1
2	0
3	3
4	1
5	0
6	6
7	3
8	1
9	0
10	9
11	5
12	3
13	1
14	0
15	12
16	7
17	4
18	3
19	1
20	0
21	15
22	9
23	6
24	4
25	3
26	1
27	0
28	19
29	12
30	8
31	6
32	4
33	3
34	1
35	0
36	22
37	14
38	10
39	8
40	6
41	4
42	3
43	1
44	0
45	26
46	17
47	12
48	9
49	7
50	5
51	4
52	3
53	1
54	0
55	30
56	20
57	15
58	11
59	9
60	7
61	5
62	4
63	3
64	1
65	0
66	34
67	23
68	17
69	14
70	11
71	9
72	7
73	5
74	4
75	3
76	1
77	0
78	38
79	26
80	20
81	16
82	13
83	10
84	8
85	7
86	5
87	4
88	3
89	1
90	0
91	42

n	a(n)
0	0
1	1
2	0
3	3
4	1
5	0
6	6
7	3
8	1
9	0
10	9
11	5
12	3
13	1
14	0
15	12
16	7
17	4
18	3
19	1
20	0
21	15
22	9
23	6
24	4
25	3
26	1
27	0
28	19
29	12
30	8
31	6
32	4
33	3
34	1
35	0
36	22
37	14
38	10
39	8
40	6
41	4
42	3
43	1
44	0
45	26
46	17
47	12
48	9
49	7
50	5
51	4
52	3
53	1
54	0
55	30
56	20
57	15
58	11
59	9
60	7
61	5
62	4
63	3
64	1
65	0
66	34
67	23
68	17
69	14
70	11
71	9
72	7
73	5
74	4
75	3
76	1
77	0
78	38
79	26
80	20
81	16
82	13
83	10
84	8
85	7
86	5
87	4
88	3
89	1
90	0
91	42