A174093 - cp's OEIS frontend

A174093 Triangle T(n, k) = binomial(n-k+1, k) + binomial(k+1, n-k) with T(0,0) = T(1, 0) = T(1, 1) = 1, read by rows.

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

[1, 1, 1, 1, 4, 1, 1, 4, 4, 1, 1, 4, 6, 4, 1, 1, 5, 7, 7, 5, 1, 1, 6, 10, 8, 10, 6, 1, 1, 7, 15, 11, 11, 15, 7, 1, 1, 8, 21, 20, 10, 20, 21, 8, 1, 1, 9, 28, 35, 16, 16, 35, 28, 9, 1, 1, 10, 36, 56, 35, 12, 35, 56, 36, 10, 1]

cp's OEIS Frontend

A174093 Triangle T(n, k) = binomial(n-k+1, k) + binomial(k+1, n-k) with T(0,0) = T(1, 0) = T(1, 1) = 1, read by rows.

Table of values

List of values

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

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

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