A111526 - cp's OEIS frontend

A111526 Number triangle T(n,k)=C((n+k)/2,k)(n+1)(1+(-1)^(n-k))/(2(k+1)); T(n,k)=(-1)^((n-k)/2)*A053120(n+1,k+1)/2^k; Riordan array ((1+x^2)/(1-x^2)^2,x/(1-x^2)).

n	a(n)
0	1
1	0
2	1
3	3
4	0
5	1
6	0
7	4
8	0
9	1
10	5
11	0
12	5
13	0
14	1
15	0
16	9
17	0
18	6
19	0
20	1
21	7
22	0
23	14
24	0
25	7
26	0
27	1
28	0
29	16
30	0
31	20
32	0
33	8
34	0
35	1
36	9
37	0
38	30
39	0
40	27
41	0
42	9
43	0
44	1
45	0
46	25
47	0
48	50
49	0
50	35
51	0
52	10
53	0
54	1
55	11
56	0
57	55
58	0
59	77
60	0
61	44
62	0
63	11
64	0
65	1
66	0
67	36
68	0
69	105
70	0
71	112
72	0
73	54
74	0
75	12
76	0
77	1
78	13
79	0
80	91
81	0
82	182
83	0
84	156
85	0
86	65
87	0
88	13
89	0
90	1
91	0

[1, 0, 1, 3, 0, 1, 0, 4, 0, 1, 5, 0, 5, 0, 1, 0, 9, 0, 6, 0, 1, 7, 0, 14, 0, 7, 0, 1, 0, 16, 0, 20, 0, 8, 0, 1, 9, 0, 30, 0, 27, 0, 9, 0, 1, 0, 25, 0, 50, 0, 35, 0, 10, 0, 1, 11, 0, 55, 0, 77, 0, 44, 0, 11, 0, 1, 0, 36, 0, 105, 0, 112, 0, 54, 0, 12, 0, 1, 13, 0, 91, 0, 182, 0, 156, 0, 65, 0, 13, 0, 1, 0]

cp's OEIS Frontend

A111526 Number triangle T(n,k)=C((n+k)/2,k)(n+1)(1+(-1)^(n-k))/(2(k+1)); T(n,k)=(-1)^((n-k)/2)*A053120(n+1,k+1)/2^k; Riordan array ((1+x^2)/(1-x^2)^2,x/(1-x^2)).

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	3
4	0
5	1
6	0
7	4
8	0
9	1
10	5
11	0
12	5
13	0
14	1
15	0
16	9
17	0
18	6
19	0
20	1
21	7
22	0
23	14
24	0
25	7
26	0
27	1
28	0
29	16
30	0
31	20
32	0
33	8
34	0
35	1
36	9
37	0
38	30
39	0
40	27
41	0
42	9
43	0
44	1
45	0
46	25
47	0
48	50
49	0
50	35
51	0
52	10
53	0
54	1
55	11
56	0
57	55
58	0
59	77
60	0
61	44
62	0
63	11
64	0
65	1
66	0
67	36
68	0
69	105
70	0
71	112
72	0
73	54
74	0
75	12
76	0
77	1
78	13
79	0
80	91
81	0
82	182
83	0
84	156
85	0
86	65
87	0
88	13
89	0
90	1
91	0

n	a(n)
0	1
1	0
2	1
3	3
4	0
5	1
6	0
7	4
8	0
9	1
10	5
11	0
12	5
13	0
14	1
15	0
16	9
17	0
18	6
19	0
20	1
21	7
22	0
23	14
24	0
25	7
26	0
27	1
28	0
29	16
30	0
31	20
32	0
33	8
34	0
35	1
36	9
37	0
38	30
39	0
40	27
41	0
42	9
43	0
44	1
45	0
46	25
47	0
48	50
49	0
50	35
51	0
52	10
53	0
54	1
55	11
56	0
57	55
58	0
59	77
60	0
61	44
62	0
63	11
64	0
65	1
66	0
67	36
68	0
69	105
70	0
71	112
72	0
73	54
74	0
75	12
76	0
77	1
78	13
79	0
80	91
81	0
82	182
83	0
84	156
85	0
86	65
87	0
88	13
89	0
90	1
91	0

n	a(n)
0	1
1	0
2	1
3	3
4	0
5	1
6	0
7	4
8	0
9	1
10	5
11	0
12	5
13	0
14	1
15	0
16	9
17	0
18	6
19	0
20	1
21	7
22	0
23	14
24	0
25	7
26	0
27	1
28	0
29	16
30	0
31	20
32	0
33	8
34	0
35	1
36	9
37	0
38	30
39	0
40	27
41	0
42	9
43	0
44	1
45	0
46	25
47	0
48	50
49	0
50	35
51	0
52	10
53	0
54	1
55	11
56	0
57	55
58	0
59	77
60	0
61	44
62	0
63	11
64	0
65	1
66	0
67	36
68	0
69	105
70	0
71	112
72	0
73	54
74	0
75	12
76	0
77	1
78	13
79	0
80	91
81	0
82	182
83	0
84	156
85	0
86	65
87	0
88	13
89	0
90	1
91	0