A339350 - cp's OEIS frontend

A339350 Triangle read by rows. T(n,k) = Sum_{j=0..k} binomial(k-j+2, 2)*T(n-1, j), for n>=0, 0<=k<=n, with T(0,0)=1 and T(n,n)=0 for n>0.

n	a(n)
0	1
1	1
2	0
3	1
4	3
5	0
6	1
7	6
8	15
9	0
10	1
11	9
12	39
13	91
14	0
15	1
16	12
17	72
18	272
19	612
20	0
21	1
22	15
23	114
24	570
25	1995
26	4389
27	0
28	1
29	18
30	165
31	1012
32	4554
33	15180
34	32890
35	0
36	1
37	21
38	225
39	1625
40	8775
41	36855
42	118755
43	254475
44	0
45	1
46	24
47	294
48	2436
49	15225
50	75516
51	302064
52	949344
53	2017356
54	0

[1, 1, 0, 1, 3, 0, 1, 6, 15, 0, 1, 9, 39, 91, 0, 1, 12, 72, 272, 612, 0, 1, 15, 114, 570, 1995, 4389, 0, 1, 18, 165, 1012, 4554, 15180, 32890, 0, 1, 21, 225, 1625, 8775, 36855, 118755, 254475, 0, 1, 24, 294, 2436, 15225, 75516, 302064, 949344, 2017356, 0]

cp's OEIS Frontend

A339350 Triangle read by rows. T(n,k) = Sum_{j=0..k} binomial(k-j+2, 2)*T(n-1, j), for n>=0, 0<=k<=n, with T(0,0)=1 and T(n,n)=0 for n>0.

Table of values

List of values