A230211 - cp's OEIS frontend

A230211 Trapezoid of dot products of row 8 (signs alternating) with sequential 9-tuples read by rows in Pascal's triangle A007318: T(n,k) is the linear combination of the 9-tuples (C(8,0), -C(8,1), ..., -C(8,7), C(8,8)) and (C(n-1,k-8), C(n-1,k-7), ..., C(n-1,k)), n >= 1, 0 <= k <= n+7.

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

[1, -8, 28, -56, 70, -56, 28, -8, 1, 1, -7, 20, -28, 14, 14, -28, 20, -7, 1, 1, -6, 13, -8, -14, 28, -14, -8, 13, -6, 1, 1, -5, 7, 5, -22, 14, 14, -22, 5, 7, -5, 1, 1, -4, 2, 12, -17, -8, 28, -8, -17, 12, 2, -4, 1, 1, -3, -2, 14, -5, -25, 20, 20, -25, -5, 14]

cp's OEIS Frontend

A230211 Trapezoid of dot products of row 8 (signs alternating) with sequential 9-tuples read by rows in Pascal's triangle A007318: T(n,k) is the linear combination of the 9-tuples (C(8,0), -C(8,1), ..., -C(8,7), C(8,8)) and (C(n-1,k-8), C(n-1,k-7), ..., C(n-1,k)), n >= 1, 0 <= k <= n+7.

Table of values

List of values

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

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

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