A054106 - cp's OEIS frontend

A054106 Alternating sums of vertically aligned numbers in Pascal's triangle: T(n,k) = C(n,k) - C(n-2,k-1) + C(n-4,k-2) - ... +- C(n-2[n/2],m).

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	2
9	1
10	1
11	3
12	5
13	3
14	1
15	1
16	4
17	8
18	8
19	4
20	1
21	1
22	5
23	12
24	15
25	12
26	5
27	1
28	1
29	6
30	17
31	27
32	27
33	17
34	6
35	1
36	1
37	7
38	23
39	44
40	55
41	44
42	23
43	7
44	1
45	1
46	8
47	30
48	67
49	99
50	99
51	67
52	30
53	8
54	1
55	1
56	9
57	38
58	97
59	166
60	197
61	166
62	97
63	38
64	9
65	1
66	1
67	10
68	47
69	135
70	263
71	363
72	363

[1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 3, 5, 3, 1, 1, 4, 8, 8, 4, 1, 1, 5, 12, 15, 12, 5, 1, 1, 6, 17, 27, 27, 17, 6, 1, 1, 7, 23, 44, 55, 44, 23, 7, 1, 1, 8, 30, 67, 99, 99, 67, 30, 8, 1, 1, 9, 38, 97, 166, 197, 166, 97, 38, 9, 1, 1, 10, 47, 135, 263, 363, 363]

cp's OEIS Frontend

A054106 Alternating sums of vertically aligned numbers in Pascal's triangle: T(n,k) = C(n,k) - C(n-2,k-1) + C(n-4,k-2) - ... +- C(n-2[n/2],m).

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	2
9	1
10	1
11	3
12	5
13	3
14	1
15	1
16	4
17	8
18	8
19	4
20	1
21	1
22	5
23	12
24	15
25	12
26	5
27	1
28	1
29	6
30	17
31	27
32	27
33	17
34	6
35	1
36	1
37	7
38	23
39	44
40	55
41	44
42	23
43	7
44	1
45	1
46	8
47	30
48	67
49	99
50	99
51	67
52	30
53	8
54	1
55	1
56	9
57	38
58	97
59	166
60	197
61	166
62	97
63	38
64	9
65	1
66	1
67	10
68	47
69	135
70	263
71	363
72	363

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	2
9	1
10	1
11	3
12	5
13	3
14	1
15	1
16	4
17	8
18	8
19	4
20	1
21	1
22	5
23	12
24	15
25	12
26	5
27	1
28	1
29	6
30	17
31	27
32	27
33	17
34	6
35	1
36	1
37	7
38	23
39	44
40	55
41	44
42	23
43	7
44	1
45	1
46	8
47	30
48	67
49	99
50	99
51	67
52	30
53	8
54	1
55	1
56	9
57	38
58	97
59	166
60	197
61	166
62	97
63	38
64	9
65	1
66	1
67	10
68	47
69	135
70	263
71	363
72	363

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	2
9	1
10	1
11	3
12	5
13	3
14	1
15	1
16	4
17	8
18	8
19	4
20	1
21	1
22	5
23	12
24	15
25	12
26	5
27	1
28	1
29	6
30	17
31	27
32	27
33	17
34	6
35	1
36	1
37	7
38	23
39	44
40	55
41	44
42	23
43	7
44	1
45	1
46	8
47	30
48	67
49	99
50	99
51	67
52	30
53	8
54	1
55	1
56	9
57	38
58	97
59	166
60	197
61	166
62	97
63	38
64	9
65	1
66	1
67	10
68	47
69	135
70	263
71	363
72	363