A115085 - cp's OEIS frontend

A115085 Triangle, read by rows, where T(n,k) equals the dot product of the vector of terms in row n-1 from T(n-1,k) to T(n-1,n-1) with the vector of terms in column k+1 from T(k+1,k+1) to T(n,k+1): T(n,k) = Sum_{j=0..n-k-1} T(n-1,j+k)*T(j+k+1,k+1) for n>k+1>0, with T(n,n) = 1 and T(n,n-1) = n (n>=1).

n	a(n)
0	1
1	1
2	1
3	3
4	2
5	1
6	12
7	5
8	3
9	1
10	58
11	21
12	7
13	4
14	1
15	321
16	102
17	32
18	9
19	5
20	1
21	1963
22	579
23	158
24	45
25	11
26	6
27	1
28	13053
29	3601
30	933
31	226
32	60
33	13
34	7
35	1
36	92946
37	24426
38	5939
39	1395
40	306
41	77
42	15
43	8
44	1
45	702864
46	176858
47	41385
48	9097
49	1977
50	398
51	96
52	17
53	9
54	1
55	5599204
56	1359906
57	306070

[1, 1, 1, 3, 2, 1, 12, 5, 3, 1, 58, 21, 7, 4, 1, 321, 102, 32, 9, 5, 1, 1963, 579, 158, 45, 11, 6, 1, 13053, 3601, 933, 226, 60, 13, 7, 1, 92946, 24426, 5939, 1395, 306, 77, 15, 8, 1, 702864, 176858, 41385, 9097, 1977, 398, 96, 17, 9, 1, 5599204, 1359906, 306070]

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