A341287 - cp's OEIS frontend

A341287 Triangle read by rows: T(n,k) = Sum_{i=0..n-1} binomial(n-1, i)T(n-1-i,k-1) - Sum_{i=1..n-1} binomial(n-1,i)T(n-1-i,k) for 1 <= k <= n+1 with T(0,1) = 1 (and T(n,k) = 0 otherwise).

n	a(n)
0	1
1	0
2	1
3	-1
4	1
5	1
6	-1
7	-2
8	3
9	1
10	2
11	-9
12	1
13	6
14	1
15	9
16	-9
17	-25
18	15
19	10
20	1
21	9
22	50
23	-104
24	-20
25	50
26	15
27	1
28	-50
29	267
30	-98
31	-364
32	105
33	119
34	21
35	1
36	-267
37	413
38	1163
39	-1610
40	-539
41	574
42	238
43	28
44	1
45	-413
46	-2180
47	7569
48	-1511
49	-6636
50	903
51	1806
52	426
53	36
54	1
55	2180
56	-17731
57	17491
58	29580
59	-32570
60	-12957
61	8757
62	4500
63	705
64	45
65	1

[1, 0, 1, -1, 1, 1, -1, -2, 3, 1, 2, -9, 1, 6, 1, 9, -9, -25, 15, 10, 1, 9, 50, -104, -20, 50, 15, 1, -50, 267, -98, -364, 105, 119, 21, 1, -267, 413, 1163, -1610, -539, 574, 238, 28, 1, -413, -2180, 7569, -1511, -6636, 903, 1806, 426, 36, 1, 2180, -17731, 17491, 29580, -32570, -12957, 8757, 4500, 705, 45, 1]

cp's OEIS Frontend

A341287 Triangle read by rows: T(n,k) = Sum_{i=0..n-1} binomial(n-1, i)T(n-1-i,k-1) - Sum_{i=1..n-1} binomial(n-1,i)T(n-1-i,k) for 1 <= k <= n+1 with T(0,1) = 1 (and T(n,k) = 0 otherwise).

Table of values

List of values

cp's OEIS Frontend

A341287 Triangle read by rows: T(n,k) = Sum_{i=0..n-1} binomial(n-1, i)*T(n-1-i,k-1) - Sum_{i=1..n-1} binomial(n-1,i)*T(n-1-i,k) for 1 <= k <= n+1 with T(0,1) = 1 (and T(n,k) = 0 otherwise).

Table of values

List of values

A341287 Triangle read by rows: T(n,k) = Sum_{i=0..n-1} binomial(n-1, i)T(n-1-i,k-1) - Sum_{i=1..n-1} binomial(n-1,i)T(n-1-i,k) for 1 <= k <= n+1 with T(0,1) = 1 (and T(n,k) = 0 otherwise).