A230206 - cp's OEIS frontend

A230206 Trapezoid of dot products of row 3 (signs alternating) with sequential 4-tuples read by rows in Pascal's triangle A007318: T(n,k) is the linear combination of the 4-tuples (C(3,0), -C(3,1), C(3,2), -C(3,3)) and (C(n-1,k-3), C(n-1,k-2), C(n-1,k-1), C(n-1,k)), n >= 1, 0 <= k <= n+2.

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

[-1, 3, -3, 1, -1, 2, 0, -2, 1, -1, 1, 2, -2, -1, 1, -1, 0, 3, 0, -3, 0, 1, -1, -1, 3, 3, -3, -3, 1, 1, -1, -2, 2, 6, 0, -6, -2, 2, 1, -1, -3, 0, 8, 6, -6, -8, 0, 3, 1, -1, -4, -3, 8, 14, 0, -14, -8, 3, 4, 1, -1, -5, -7, 5, 22, 14, -14, -22, -5, 7]

cp's OEIS Frontend

A230206 Trapezoid of dot products of row 3 (signs alternating) with sequential 4-tuples read by rows in Pascal's triangle A007318: T(n,k) is the linear combination of the 4-tuples (C(3,0), -C(3,1), C(3,2), -C(3,3)) and (C(n-1,k-3), C(n-1,k-2), C(n-1,k-1), C(n-1,k)), n >= 1, 0 <= k <= n+2.

Table of values

List of values

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

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

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