A112340 - cp's OEIS frontend

A112340 Triangle read by rows of numbers b_{n,k}, n>=1, 1<=k<=n such that Product_{n,k} 1/(1-q^n t^k)^{b_{n,k}} = 1 + Sum_{i,j>=1} S_{i,j} q^i t^j where S_{i,j} are entries in the table A008277 (the inverse Euler transformation of the table of Stirling numbers of the second kind).

n	a(n)
1	1
2	1
3	0
4	1
5	2
6	0
7	1
8	5
9	3
10	0
11	1
12	13
13	16
14	4
15	0
16	1
17	28
18	67
19	34
20	5
21	0
22	1
23	60
24	249
25	229
26	65
27	6
28	0
29	1
30	123
31	853
32	1265
33	609
34	107
35	7
36	0
37	1
38	251
39	2787
40	6325
41	4696
42	1376
43	168
44	8
45	0
46	1
47	506
48	8840
49	29484
50	31947
51	14068
52	2772
53	244
54	9
55	0
56	1
57	1018
58	27503
59	131402
60	199766
61	124859
62	36252

[1, 1, 0, 1, 2, 0, 1, 5, 3, 0, 1, 13, 16, 4, 0, 1, 28, 67, 34, 5, 0, 1, 60, 249, 229, 65, 6, 0, 1, 123, 853, 1265, 609, 107, 7, 0, 1, 251, 2787, 6325, 4696, 1376, 168, 8, 0, 1, 506, 8840, 29484, 31947, 14068, 2772, 244, 9, 0, 1, 1018, 27503, 131402, 199766, 124859, 36252]

cp's OEIS Frontend

A112340 Triangle read by rows of numbers b_{n,k}, n>=1, 1<=k<=n such that Product_{n,k} 1/(1-q^n t^k)^{b_{n,k}} = 1 + Sum_{i,j>=1} S_{i,j} q^i t^j where S_{i,j} are entries in the table A008277 (the inverse Euler transformation of the table of Stirling numbers of the second kind).

Table of values

List of values