A128084 - cp's OEIS frontend

A128084 Triangle, read by rows of n^2+1 terms, of coefficients of q in the q-analog of the even double factorials: T(n,k) = [q^k] Product_{j=1..n} (1-q^(2j))/(1-q) for n>0, with T(0,0)=1.

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	2
6	2
7	1
8	1
9	3
10	5
11	7
12	8
13	8
14	7
15	5
16	3
17	1
18	1
19	4
20	9
21	16
22	24
23	32
24	39
25	44
26	46
27	44
28	39
29	32
30	24
31	16
32	9
33	4
34	1
35	1
36	5
37	14
38	30
39	54
40	86
41	125
42	169
43	215
44	259
45	297
46	325
47	340
48	340
49	325
50	297
51	259
52	215
53	169
54	125
55	86
56	54
57	30
58	14
59	5
60	1
61	1
62	6
63	20
64	50
65	104
66	190
67	315
68	484
69	699
70	958
71	1255
72	1580
73	1919

[1, 1, 1, 1, 2, 2, 2, 1, 1, 3, 5, 7, 8, 8, 7, 5, 3, 1, 1, 4, 9, 16, 24, 32, 39, 44, 46, 44, 39, 32, 24, 16, 9, 4, 1, 1, 5, 14, 30, 54, 86, 125, 169, 215, 259, 297, 325, 340, 340, 325, 297, 259, 215, 169, 125, 86, 54, 30, 14, 5, 1, 1, 6, 20, 50, 104, 190, 315, 484, 699, 958, 1255, 1580, 1919]

cp's OEIS Frontend

A128084 Triangle, read by rows of n^2+1 terms, of coefficients of q in the q-analog of the even double factorials: T(n,k) = [q^k] Product_{j=1..n} (1-q^(2j))/(1-q) for n>0, with T(0,0)=1.

Table of values

List of values