A274888 - cp's OEIS frontend

A274888 Triangle read by rows: the q-analog of the swinging factorial which is defined as q-multinomial([floor(n/2), n mod 2, floor(n/2)]).

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

[1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 4, 5, 6, 5, 4, 2, 1, 1, 1, 2, 3, 3, 3, 3, 2, 1, 1, 1, 2, 4, 7, 10, 13, 16, 17, 17, 16, 13, 10, 7, 4, 2, 1, 1, 1, 2, 3, 5, 5, 7, 7, 8, 7, 7, 5, 5, 3, 2, 1, 1, 1, 2, 4, 7, 12, 17, 24, 31, 39, 45, 51, 54, 56, 54, 51, 45, 39, 31, 24, 17, 12, 7, 4, 2, 1]

cp's OEIS Frontend

A274888 Triangle read by rows: the q-analog of the swinging factorial which is defined as q-multinomial([floor(n/2), n mod 2, floor(n/2)]).

Table of values

List of values

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

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

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