A128080 - cp's OEIS frontend

A128080 Triangle, read by rows of n(n-1)+1 terms, of coefficients of q in the q-analog of the odd double factorials: T(n,k) = [q^k] Product_{j=1..n} (1-q^(2j-1))/(1-q) for n>0, with T(0,0)=1.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	2
7	3
8	3
9	3
10	2
11	1
12	1
13	3
14	6
15	9
16	12
17	14
18	15
19	14
20	12
21	9
22	6
23	3
24	1
25	1
26	4
27	10
28	19
29	31
30	45
31	60
32	74
33	86
34	94
35	97
36	94
37	86
38	74
39	60
40	45
41	31
42	19
43	10
44	4
45	1
46	1
47	5
48	15
49	34
50	65
51	110
52	170
53	244
54	330
55	424
56	521
57	614
58	696
59	760
60	801
61	815
62	801
63	760
64	696
65	614
66	521
67	424
68	330
69	244
70	170

[1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 2, 1, 1, 3, 6, 9, 12, 14, 15, 14, 12, 9, 6, 3, 1, 1, 4, 10, 19, 31, 45, 60, 74, 86, 94, 97, 94, 86, 74, 60, 45, 31, 19, 10, 4, 1, 1, 5, 15, 34, 65, 110, 170, 244, 330, 424, 521, 614, 696, 760, 801, 815, 801, 760, 696, 614, 521, 424, 330, 244, 170]

cp's OEIS Frontend

A128080 Triangle, read by rows of n(n-1)+1 terms, of coefficients of q in the q-analog of the odd double factorials: T(n,k) = [q^k] Product_{j=1..n} (1-q^(2j-1))/(1-q) for n>0, with T(0,0)=1.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	2
7	3
8	3
9	3
10	2
11	1
12	1
13	3
14	6
15	9
16	12
17	14
18	15
19	14
20	12
21	9
22	6
23	3
24	1
25	1
26	4
27	10
28	19
29	31
30	45
31	60
32	74
33	86
34	94
35	97
36	94
37	86
38	74
39	60
40	45
41	31
42	19
43	10
44	4
45	1
46	1
47	5
48	15
49	34
50	65
51	110
52	170
53	244
54	330
55	424
56	521
57	614
58	696
59	760
60	801
61	815
62	801
63	760
64	696
65	614
66	521
67	424
68	330
69	244
70	170

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	2
7	3
8	3
9	3
10	2
11	1
12	1
13	3
14	6
15	9
16	12
17	14
18	15
19	14
20	12
21	9
22	6
23	3
24	1
25	1
26	4
27	10
28	19
29	31
30	45
31	60
32	74
33	86
34	94
35	97
36	94
37	86
38	74
39	60
40	45
41	31
42	19
43	10
44	4
45	1
46	1
47	5
48	15
49	34
50	65
51	110
52	170
53	244
54	330
55	424
56	521
57	614
58	696
59	760
60	801
61	815
62	801
63	760
64	696
65	614
66	521
67	424
68	330
69	244
70	170

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	2
7	3
8	3
9	3
10	2
11	1
12	1
13	3
14	6
15	9
16	12
17	14
18	15
19	14
20	12
21	9
22	6
23	3
24	1
25	1
26	4
27	10
28	19
29	31
30	45
31	60
32	74
33	86
34	94
35	97
36	94
37	86
38	74
39	60
40	45
41	31
42	19
43	10
44	4
45	1
46	1
47	5
48	15
49	34
50	65
51	110
52	170
53	244
54	330
55	424
56	521
57	614
58	696
59	760
60	801
61	815
62	801
63	760
64	696
65	614
66	521
67	424
68	330
69	244
70	170