A319861 - cp's OEIS frontend

A319861 Triangle read by rows, 0 <= k <= n: T(n,k) is the numerator of the k-th Bernstein basis polynomial of degree n evaluated at the interval midpoint t = 1/2; denominator is A319862.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	3
8	3
9	1
10	1
11	1
12	3
13	1
14	1
15	1
16	5
17	5
18	5
19	5
20	1
21	1
22	3
23	15
24	5
25	15
26	3
27	1
28	1
29	7
30	21
31	35
32	35
33	21
34	7
35	1
36	1
37	1
38	7
39	7
40	35
41	7
42	7
43	1
44	1
45	1
46	9
47	9
48	21
49	63
50	63
51	21
52	9
53	9
54	1
55	1
56	5
57	45
58	15
59	105
60	63
61	105
62	15
63	45
64	5
65	1
66	1
67	11
68	55
69	165
70	165
71	231
72	231
73	165
74	165
75	55
76	11
77	1

[1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 1, 1, 1, 5, 5, 5, 5, 1, 1, 3, 15, 5, 15, 3, 1, 1, 7, 21, 35, 35, 21, 7, 1, 1, 1, 7, 7, 35, 7, 7, 1, 1, 1, 9, 9, 21, 63, 63, 21, 9, 9, 1, 1, 5, 45, 15, 105, 63, 105, 15, 45, 5, 1, 1, 11, 55, 165, 165, 231, 231, 165, 165, 55, 11, 1]

cp's OEIS Frontend

A319861 Triangle read by rows, 0 <= k <= n: T(n,k) is the numerator of the k-th Bernstein basis polynomial of degree n evaluated at the interval midpoint t = 1/2; denominator is A319862.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	3
8	3
9	1
10	1
11	1
12	3
13	1
14	1
15	1
16	5
17	5
18	5
19	5
20	1
21	1
22	3
23	15
24	5
25	15
26	3
27	1
28	1
29	7
30	21
31	35
32	35
33	21
34	7
35	1
36	1
37	1
38	7
39	7
40	35
41	7
42	7
43	1
44	1
45	1
46	9
47	9
48	21
49	63
50	63
51	21
52	9
53	9
54	1
55	1
56	5
57	45
58	15
59	105
60	63
61	105
62	15
63	45
64	5
65	1
66	1
67	11
68	55
69	165
70	165
71	231
72	231
73	165
74	165
75	55
76	11
77	1

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	3
8	3
9	1
10	1
11	1
12	3
13	1
14	1
15	1
16	5
17	5
18	5
19	5
20	1
21	1
22	3
23	15
24	5
25	15
26	3
27	1
28	1
29	7
30	21
31	35
32	35
33	21
34	7
35	1
36	1
37	1
38	7
39	7
40	35
41	7
42	7
43	1
44	1
45	1
46	9
47	9
48	21
49	63
50	63
51	21
52	9
53	9
54	1
55	1
56	5
57	45
58	15
59	105
60	63
61	105
62	15
63	45
64	5
65	1
66	1
67	11
68	55
69	165
70	165
71	231
72	231
73	165
74	165
75	55
76	11
77	1

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	3
8	3
9	1
10	1
11	1
12	3
13	1
14	1
15	1
16	5
17	5
18	5
19	5
20	1
21	1
22	3
23	15
24	5
25	15
26	3
27	1
28	1
29	7
30	21
31	35
32	35
33	21
34	7
35	1
36	1
37	1
38	7
39	7
40	35
41	7
42	7
43	1
44	1
45	1
46	9
47	9
48	21
49	63
50	63
51	21
52	9
53	9
54	1
55	1
56	5
57	45
58	15
59	105
60	63
61	105
62	15
63	45
64	5
65	1
66	1
67	11
68	55
69	165
70	165
71	231
72	231
73	165
74	165
75	55
76	11
77	1