A230209 - cp's OEIS frontend

A230209 Trapezoid of dot products of row 6 (signs alternating) with sequential 7-tuples read by rows in Pascal's triangle A007318: T(n,k) is the linear combination of the 7-tuples (C(6,0), -C(6,1), ..., -C(6,5), C(6,6)) and (C(n-1,k-6), C(n-1,k-5), ..., C(n-1,k)), n >= 1, 0 <= k <= n+5.

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

[1, -6, 15, -20, 15, -6, 1, 1, -5, 9, -5, -5, 9, -5, 1, 1, -4, 4, 4, -10, 4, 4, -4, 1, 1, -3, 0, 8, -6, -6, 8, 0, -3, 1, 1, -2, -3, 8, 2, -12, 2, 8, -3, -2, 1, 1, -1, -5, 5, 10, -10, -10, 10, 5, -5, -1, 1, 1, 0, -6, 0, 15, 0, -20, 0, 15, 0, -6, 0, 1, 1, 1, -6]

cp's OEIS Frontend

A230209 Trapezoid of dot products of row 6 (signs alternating) with sequential 7-tuples read by rows in Pascal's triangle A007318: T(n,k) is the linear combination of the 7-tuples (C(6,0), -C(6,1), ..., -C(6,5), C(6,6)) and (C(n-1,k-6), C(n-1,k-5), ..., C(n-1,k)), n >= 1, 0 <= k <= n+5.

Table of values

List of values

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

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

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