A300305 - cp's OEIS frontend

A300305 Expected rounded number of draws until two persons simultaneously drawing cards with replacement from two decks of cards with m and n cards, respectively, both obtain complete collections, written as triangle T(m,n), 1 <= n <= m.

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

[1, 3, 4, 6, 6, 7, 8, 8, 9, 10, 11, 11, 12, 12, 14, 15, 15, 15, 15, 16, 18, 18, 18, 18, 18, 19, 20, 22, 22, 22, 22, 22, 22, 23, 24, 26, 25, 25, 25, 26, 26, 26, 27, 29, 31, 29, 29, 29, 29, 29, 30, 31, 32, 33, 35, 33, 33, 33, 33, 33, 34, 34, 35, 36, 38, 40, 37, 37, 37, 37, 37, 37, 38, 38, 39, 41, 42, 45]

cp's OEIS Frontend

A300305 Expected rounded number of draws until two persons simultaneously drawing cards with replacement from two decks of cards with m and n cards, respectively, both obtain complete collections, written as triangle T(m,n), 1 <= n <= m.

Table of values

List of values

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

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

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