A051287 - cp's OEIS frontend

A051287 Triangular array T read by rows: T(n,k)=P(n,k,|n-2k|), where P(n,k,c)=number of vectors (x(1),x(2,),...,x(n)) of k 1's and n-k 0's such that x(i)=x(n+1-i) for exactly c values of i.

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	2
8	2
9	1
10	1
11	4
12	4
13	4
14	1
15	1
16	4
17	4
18	4
19	4
20	1
21	1
22	6
23	12
24	8
25	12
26	6
27	1
28	1
29	6
30	12
31	8
32	8
33	12
34	6
35	1
36	1
37	8
38	24
39	32
40	16
41	32
42	24
43	8
44	1
45	1
46	8
47	24
48	32
49	16
50	16
51	32
52	24
53	8
54	1
55	1
56	10
57	40
58	80
59	80
60	32
61	80
62	80
63	40
64	10
65	1
66	1
67	10
68	40
69	80
70	80
71	32
72	32
73	80

[1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 4, 4, 1, 1, 4, 4, 4, 4, 1, 1, 6, 12, 8, 12, 6, 1, 1, 6, 12, 8, 8, 12, 6, 1, 1, 8, 24, 32, 16, 32, 24, 8, 1, 1, 8, 24, 32, 16, 16, 32, 24, 8, 1, 1, 10, 40, 80, 80, 32, 80, 80, 40, 10, 1, 1, 10, 40, 80, 80, 32, 32, 80]

cp's OEIS Frontend

A051287 Triangular array T read by rows: T(n,k)=P(n,k,|n-2k|), where P(n,k,c)=number of vectors (x(1),x(2,),...,x(n)) of k 1's and n-k 0's such that x(i)=x(n+1-i) for exactly c values of i.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	2
8	2
9	1
10	1
11	4
12	4
13	4
14	1
15	1
16	4
17	4
18	4
19	4
20	1
21	1
22	6
23	12
24	8
25	12
26	6
27	1
28	1
29	6
30	12
31	8
32	8
33	12
34	6
35	1
36	1
37	8
38	24
39	32
40	16
41	32
42	24
43	8
44	1
45	1
46	8
47	24
48	32
49	16
50	16
51	32
52	24
53	8
54	1
55	1
56	10
57	40
58	80
59	80
60	32
61	80
62	80
63	40
64	10
65	1
66	1
67	10
68	40
69	80
70	80
71	32
72	32
73	80

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	2
8	2
9	1
10	1
11	4
12	4
13	4
14	1
15	1
16	4
17	4
18	4
19	4
20	1
21	1
22	6
23	12
24	8
25	12
26	6
27	1
28	1
29	6
30	12
31	8
32	8
33	12
34	6
35	1
36	1
37	8
38	24
39	32
40	16
41	32
42	24
43	8
44	1
45	1
46	8
47	24
48	32
49	16
50	16
51	32
52	24
53	8
54	1
55	1
56	10
57	40
58	80
59	80
60	32
61	80
62	80
63	40
64	10
65	1
66	1
67	10
68	40
69	80
70	80
71	32
72	32
73	80

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	2
8	2
9	1
10	1
11	4
12	4
13	4
14	1
15	1
16	4
17	4
18	4
19	4
20	1
21	1
22	6
23	12
24	8
25	12
26	6
27	1
28	1
29	6
30	12
31	8
32	8
33	12
34	6
35	1
36	1
37	8
38	24
39	32
40	16
41	32
42	24
43	8
44	1
45	1
46	8
47	24
48	32
49	16
50	16
51	32
52	24
53	8
54	1
55	1
56	10
57	40
58	80
59	80
60	32
61	80
62	80
63	40
64	10
65	1
66	1
67	10
68	40
69	80
70	80
71	32
72	32
73	80