A141901 - cp's OEIS frontend

A141901 Triangle T(n, k) = Sum_{j=0..n-k-1} binomial(n, j+k+1) - 2^(n-k) with T(n, 0) = 1, read by rows.

n	a(n)
0	1
1	1
2	-1
3	1
4	-1
5	-1
6	1
7	0
8	-1
9	-1
10	1
11	3
12	1
13	-1
14	-1
15	1
16	10
17	8
18	2
19	-1
20	-1
21	1
22	25
23	26
24	14
25	3
26	-1
27	-1
28	1
29	56
30	67
31	48
32	21
33	4
34	-1
35	-1
36	1
37	119
38	155
39	131
40	77
41	29
42	5
43	-1
44	-1
45	1
46	246
47	338
48	318
49	224
50	114
51	38
52	6
53	-1
54	-1
55	1
56	501
57	712
58	720
59	574
60	354
61	160
62	48
63	7
64	-1
65	-1

[1, 1, -1, 1, -1, -1, 1, 0, -1, -1, 1, 3, 1, -1, -1, 1, 10, 8, 2, -1, -1, 1, 25, 26, 14, 3, -1, -1, 1, 56, 67, 48, 21, 4, -1, -1, 1, 119, 155, 131, 77, 29, 5, -1, -1, 1, 246, 338, 318, 224, 114, 38, 6, -1, -1, 1, 501, 712, 720, 574, 354, 160, 48, 7, -1, -1]

cp's OEIS Frontend

A141901 Triangle T(n, k) = Sum_{j=0..n-k-1} binomial(n, j+k+1) - 2^(n-k) with T(n, 0) = 1, read by rows.

Table of values

List of values

n	a(n)
0	1
1	1
2	-1
3	1
4	-1
5	-1
6	1
7	0
8	-1
9	-1
10	1
11	3
12	1
13	-1
14	-1
15	1
16	10
17	8
18	2
19	-1
20	-1
21	1
22	25
23	26
24	14
25	3
26	-1
27	-1
28	1
29	56
30	67
31	48
32	21
33	4
34	-1
35	-1
36	1
37	119
38	155
39	131
40	77
41	29
42	5
43	-1
44	-1
45	1
46	246
47	338
48	318
49	224
50	114
51	38
52	6
53	-1
54	-1
55	1
56	501
57	712
58	720
59	574
60	354
61	160
62	48
63	7
64	-1
65	-1

n	a(n)
0	1
1	1
2	-1
3	1
4	-1
5	-1
6	1
7	0
8	-1
9	-1
10	1
11	3
12	1
13	-1
14	-1
15	1
16	10
17	8
18	2
19	-1
20	-1
21	1
22	25
23	26
24	14
25	3
26	-1
27	-1
28	1
29	56
30	67
31	48
32	21
33	4
34	-1
35	-1
36	1
37	119
38	155
39	131
40	77
41	29
42	5
43	-1
44	-1
45	1
46	246
47	338
48	318
49	224
50	114
51	38
52	6
53	-1
54	-1
55	1
56	501
57	712
58	720
59	574
60	354
61	160
62	48
63	7
64	-1
65	-1

n	a(n)
0	1
1	1
2	-1
3	1
4	-1
5	-1
6	1
7	0
8	-1
9	-1
10	1
11	3
12	1
13	-1
14	-1
15	1
16	10
17	8
18	2
19	-1
20	-1
21	1
22	25
23	26
24	14
25	3
26	-1
27	-1
28	1
29	56
30	67
31	48
32	21
33	4
34	-1
35	-1
36	1
37	119
38	155
39	131
40	77
41	29
42	5
43	-1
44	-1
45	1
46	246
47	338
48	318
49	224
50	114
51	38
52	6
53	-1
54	-1
55	1
56	501
57	712
58	720
59	574
60	354
61	160
62	48
63	7
64	-1
65	-1