A268533 - cp's OEIS frontend

A268533 Pascal's difference pyramid read first by blocks and then by rows: T(n,k,m) = 1/(m!) * (d/dx)^m((1-x)^k*(1+x)^(n-k))|_{x=0}.

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

[1, 1, 1, 1, -1, 1, 2, 1, 1, 0, -1, 1, -2, 1, 1, 3, 3, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -3, 3, -1, 1, 4, 6, 4, 1, 1, 2, 0, -2, -1, 1, 0, -2, 0, 1, 1, -2, 0, 2, -1, 1, -4, 6, -4, 1, 1, 5, 10, 10, 5, 1, 1, 3, 2, -2, -3, -1, 1, 1, -2, -2, 1, 1, 1, -1, -2, 2, 1, -1, 1, -3, 2, 2, -3, 1, 1, -5, 10, -10, 5, -1]

cp's OEIS Frontend

A268533 Pascal's difference pyramid read first by blocks and then by rows: T(n,k,m) = 1/(m!) * (d/dx)^m((1-x)^k*(1+x)^(n-k))|_{x=0}.

Table of values

List of values

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

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

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