A230210 - cp's OEIS frontend

A230210 Trapezoid of dot products of row 7 (signs alternating) with sequential 8-tuples read by rows in Pascal's triangle A007318: T(n,k) is the linear combination of the 8-tuples (C(7,0), -C(7,1), ..., C(7,6), -C(7,7)) and (C(n-1,k-7), C(n-1,k-6), ..., C(n-1,k)), n >= 1, 0 <= k <= n+6.

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

[-1, 7, -21, 35, -35, 21, -7, 1, -1, 6, -14, 14, 0, -14, 14, -6, 1, -1, 5, -8, 0, 14, -14, 0, 8, -5, 1, -1, 4, -3, -8, 14, 0, -14, 8, 3, -4, 1, -1, 3, 1, -11, 6, 14, -14, -6, 11, -1, -3, 1, -1, 2, 4, -10, -5, 20, 0, -20, 5, 10, -4, -2, 1, -1, 1, 6, -6, -15]

cp's OEIS Frontend

A230210 Trapezoid of dot products of row 7 (signs alternating) with sequential 8-tuples read by rows in Pascal's triangle A007318: T(n,k) is the linear combination of the 8-tuples (C(7,0), -C(7,1), ..., C(7,6), -C(7,7)) and (C(n-1,k-7), C(n-1,k-6), ..., C(n-1,k)), n >= 1, 0 <= k <= n+6.

Table of values

List of values

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

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

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