A108149 - cp's OEIS frontend

A108149 Triangle T(n,k), 0<=k<=n, read by rows, defined by: T(0,0)=1,T(n,k)= 0 if n T(n,k) = (-1)^n*T(n-1,k) + T(n-1,k-1) + T(n-1,k+1).

n	a(n)
0	1
1	-1
2	1
3	0
4	0
5	1
6	0
7	1
8	-1
9	1
10	1
11	0
12	1
13	0
14	1
15	-1
16	2
17	-1
18	2
19	-1
20	1
21	1
22	0
23	3
24	0
25	2
26	0
27	1
28	-1
29	4
30	-3
31	5
32	-2
33	3
34	-1
35	1
36	3
37	0
38	6
39	0
40	6
41	0
42	3
43	0
44	1
45	-3
46	9
47	-6
48	12
49	-6
50	9
51	-3
52	4
53	-1
54	1
55	6
56	0
57	15
58	0
59	15
60	0
61	10
62	0
63	4
64	0
65	1
66	-6
67	21
68	-15
69	30
70	-15
71	25
72	-10
73	14
74	-4
75	5
76	-1
77	1
78	15
79	0
80	36
81	0
82	40
83	0
84	29
85	0
86	15
87	0
88	5
89	0
90	1
91	-15
92	51
93	-36
94	76
95	-40
96	69
97	-29
98	44
99	-15
100	20
101	-5

[1, -1, 1, 0, 0, 1, 0, 1, -1, 1, 1, 0, 1, 0, 1, -1, 2, -1, 2, -1, 1, 1, 0, 3, 0, 2, 0, 1, -1, 4, -3, 5, -2, 3, -1, 1, 3, 0, 6, 0, 6, 0, 3, 0, 1, -3, 9, -6, 12, -6, 9, -3, 4, -1, 1, 6, 0, 15, 0, 15, 0, 10, 0, 4, 0, 1, -6, 21, -15, 30, -15, 25, -10, 14, -4, 5, -1, 1, 15, 0, 36, 0, 40, 0, 29, 0, 15, 0, 5, 0, 1, -15, 51, -36, 76, -40, 69, -29, 44, -15, 20, -5]

cp's OEIS Frontend

A108149 Triangle T(n,k), 0<=k<=n, read by rows, defined by: T(0,0)=1,T(n,k)= 0 if n T(n,k) = (-1)^n*T(n-1,k) + T(n-1,k-1) + T(n-1,k+1).

Table of values

List of values

n	a(n)
0	1
1	-1
2	1
3	0
4	0
5	1
6	0
7	1
8	-1
9	1
10	1
11	0
12	1
13	0
14	1
15	-1
16	2
17	-1
18	2
19	-1
20	1
21	1
22	0
23	3
24	0
25	2
26	0
27	1
28	-1
29	4
30	-3
31	5
32	-2
33	3
34	-1
35	1
36	3
37	0
38	6
39	0
40	6
41	0
42	3
43	0
44	1
45	-3
46	9
47	-6
48	12
49	-6
50	9
51	-3
52	4
53	-1
54	1
55	6
56	0
57	15
58	0
59	15
60	0
61	10
62	0
63	4
64	0
65	1
66	-6
67	21
68	-15
69	30
70	-15
71	25
72	-10
73	14
74	-4
75	5
76	-1
77	1
78	15
79	0
80	36
81	0
82	40
83	0
84	29
85	0
86	15
87	0
88	5
89	0
90	1
91	-15
92	51
93	-36
94	76
95	-40
96	69
97	-29
98	44
99	-15
100	20
101	-5

n	a(n)
0	1
1	-1
2	1
3	0
4	0
5	1
6	0
7	1
8	-1
9	1
10	1
11	0
12	1
13	0
14	1
15	-1
16	2
17	-1
18	2
19	-1
20	1
21	1
22	0
23	3
24	0
25	2
26	0
27	1
28	-1
29	4
30	-3
31	5
32	-2
33	3
34	-1
35	1
36	3
37	0
38	6
39	0
40	6
41	0
42	3
43	0
44	1
45	-3
46	9
47	-6
48	12
49	-6
50	9
51	-3
52	4
53	-1
54	1
55	6
56	0
57	15
58	0
59	15
60	0
61	10
62	0
63	4
64	0
65	1
66	-6
67	21
68	-15
69	30
70	-15
71	25
72	-10
73	14
74	-4
75	5
76	-1
77	1
78	15
79	0
80	36
81	0
82	40
83	0
84	29
85	0
86	15
87	0
88	5
89	0
90	1
91	-15
92	51
93	-36
94	76
95	-40
96	69
97	-29
98	44
99	-15
100	20
101	-5

n	a(n)
0	1
1	-1
2	1
3	0
4	0
5	1
6	0
7	1
8	-1
9	1
10	1
11	0
12	1
13	0
14	1
15	-1
16	2
17	-1
18	2
19	-1
20	1
21	1
22	0
23	3
24	0
25	2
26	0
27	1
28	-1
29	4
30	-3
31	5
32	-2
33	3
34	-1
35	1
36	3
37	0
38	6
39	0
40	6
41	0
42	3
43	0
44	1
45	-3
46	9
47	-6
48	12
49	-6
50	9
51	-3
52	4
53	-1
54	1
55	6
56	0
57	15
58	0
59	15
60	0
61	10
62	0
63	4
64	0
65	1
66	-6
67	21
68	-15
69	30
70	-15
71	25
72	-10
73	14
74	-4
75	5
76	-1
77	1
78	15
79	0
80	36
81	0
82	40
83	0
84	29
85	0
86	15
87	0
88	5
89	0
90	1
91	-15
92	51
93	-36
94	76
95	-40
96	69
97	-29
98	44
99	-15
100	20
101	-5