A137276 - cp's OEIS frontend

A137276 Triangle T(n,k), read by rows: T(n,k)= 0 if n-k odd. T(n,k)= 2(-1)^((n-k)/2)(2k-n)/(n+k)*binomial((n+k)/2,(n-k)/2) if n-k even.

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

[1, 0, 1, 2, 0, 1, 0, 1, 0, 1, -2, 0, 0, 0, 1, 0, -3, 0, -1, 0, 1, 2, 0, -3, 0, -2, 0, 1, 0, 5, 0, -2, 0, -3, 0, 1, -2, 0, 8, 0, 0, 0, -4, 0, 1, 0, -7, 0, 10, 0, 3, 0, -5, 0, 1, 2, 0, -15, 0, 10, 0, 7, 0, -6, 0, 1, 0, 9, 0, -25, 0, 7, 0, 12, 0, -7, 0, 1, -2, 0, 24, 0, -35, 0, 0, 0, 18, 0, -8, 0, 1, 0, -11, 0, 49, 0, -42, 0, -12, 0]

cp's OEIS Frontend

A137276 Triangle T(n,k), read by rows: T(n,k)= 0 if n-k odd. T(n,k)= 2(-1)^((n-k)/2)(2k-n)/(n+k)*binomial((n+k)/2,(n-k)/2) if n-k even.

Table of values

List of values

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

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

cp's OEIS Frontend

A137276 Triangle T(n,k), read by rows: T(n,k)= 0 if n-k odd. T(n,k)= 2*(-1)^((n-k)/2)*(2k-n)/(n+k)*binomial((n+k)/2,(n-k)/2) if n-k even.

Table of values

List of values

A137276 Triangle T(n,k), read by rows: T(n,k)= 0 if n-k odd. T(n,k)= 2(-1)^((n-k)/2)(2k-n)/(n+k)*binomial((n+k)/2,(n-k)/2) if n-k even.

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