A173075 - cp's OEIS frontend

A173075 T(n,k) = binomial(n, k) - 1 + q^(floor(n/2))*binomial(n-2, k-1) for 0 < k < n with T(n,0) = T(n,n) = 1 and q = 1. Triangle read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	3
9	1
10	1
11	4
12	7
13	4
14	1
15	1
16	5
17	12
18	12
19	5
20	1
21	1
22	6
23	18
24	25
25	18
26	6
27	1
28	1
29	7
30	25
31	44
32	44
33	25
34	7
35	1
36	1
37	8
38	33
39	70
40	89
41	70
42	33
43	8
44	1
45	1
46	9
47	42
48	104
49	160
50	160
51	104
52	42
53	9
54	1
55	1
56	10
57	52
58	147
59	265
60	321
61	265
62	147
63	52
64	10
65	1

[1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 7, 4, 1, 1, 5, 12, 12, 5, 1, 1, 6, 18, 25, 18, 6, 1, 1, 7, 25, 44, 44, 25, 7, 1, 1, 8, 33, 70, 89, 70, 33, 8, 1, 1, 9, 42, 104, 160, 160, 104, 42, 9, 1, 1, 10, 52, 147, 265, 321, 265, 147, 52, 10, 1]

cp's OEIS Frontend

A173075 T(n,k) = binomial(n, k) - 1 + q^(floor(n/2))*binomial(n-2, k-1) for 0 < k < n with T(n,0) = T(n,n) = 1 and q = 1. Triangle read by rows.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	3
9	1
10	1
11	4
12	7
13	4
14	1
15	1
16	5
17	12
18	12
19	5
20	1
21	1
22	6
23	18
24	25
25	18
26	6
27	1
28	1
29	7
30	25
31	44
32	44
33	25
34	7
35	1
36	1
37	8
38	33
39	70
40	89
41	70
42	33
43	8
44	1
45	1
46	9
47	42
48	104
49	160
50	160
51	104
52	42
53	9
54	1
55	1
56	10
57	52
58	147
59	265
60	321
61	265
62	147
63	52
64	10
65	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	3
9	1
10	1
11	4
12	7
13	4
14	1
15	1
16	5
17	12
18	12
19	5
20	1
21	1
22	6
23	18
24	25
25	18
26	6
27	1
28	1
29	7
30	25
31	44
32	44
33	25
34	7
35	1
36	1
37	8
38	33
39	70
40	89
41	70
42	33
43	8
44	1
45	1
46	9
47	42
48	104
49	160
50	160
51	104
52	42
53	9
54	1
55	1
56	10
57	52
58	147
59	265
60	321
61	265
62	147
63	52
64	10
65	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	3
9	1
10	1
11	4
12	7
13	4
14	1
15	1
16	5
17	12
18	12
19	5
20	1
21	1
22	6
23	18
24	25
25	18
26	6
27	1
28	1
29	7
30	25
31	44
32	44
33	25
34	7
35	1
36	1
37	8
38	33
39	70
40	89
41	70
42	33
43	8
44	1
45	1
46	9
47	42
48	104
49	160
50	160
51	104
52	42
53	9
54	1
55	1
56	10
57	52
58	147
59	265
60	321
61	265
62	147
63	52
64	10
65	1