A119337 - cp's OEIS frontend

A119337 Number triangle T(n,k)=sum{i=0..n, (-1)^(n-i)C(n,i)sum{j=0..i-k, C(k,3j)*C(i-k,3j)}}.

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

[1, 0, 1, 0, -1, 1, 0, 1, -2, 1, 0, -1, 3, -3, 1, 0, 1, -4, 6, -4, 1, 0, -1, 5, -9, 10, -5, 1, 0, 1, -6, 12, -16, 15, -6, 1, 0, -1, 7, -15, 19, -25, 21, -7, 1, 0, 1, -8, 18, -16, 20, -36, 28, -8, 1, 0, -1, 9, -21, 4, 24, 6, -49, 36, -9, 1]

cp's OEIS Frontend

A119337 Number triangle T(n,k)=sum{i=0..n, (-1)^(n-i)C(n,i)sum{j=0..i-k, C(k,3j)*C(i-k,3j)}}.

Table of values

List of values

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

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

cp's OEIS Frontend

A119337 Number triangle T(n,k)=sum{i=0..n, (-1)^(n-i)*C(n,i)*sum{j=0..i-k, C(k,3j)*C(i-k,3j)}}.

Table of values

List of values

A119337 Number triangle T(n,k)=sum{i=0..n, (-1)^(n-i)C(n,i)sum{j=0..i-k, C(k,3j)*C(i-k,3j)}}.

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