A357645 - cp's OEIS frontend

A357645 Triangle read by rows where T(n,k) is the number of integer compositions of n with half-alternating sum k, where k ranges from -n to n in steps of 2.

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	2
6	0
7	0
8	1
9	3
10	0
11	0
12	2
13	2
14	4
15	0
16	0
17	3
18	5
19	3
20	5
21	0
22	0
23	4
24	8
25	10
26	4
27	6
28	0
29	0
30	5
31	11
32	18
33	18
34	5
35	7
36	0
37	0
38	6
39	14
40	28
41	36
42	30
43	6
44	8
45	0
46	0
47	7
48	17
49	41
50	63
51	65
52	47
53	7
54	9
55	0
56	0
57	8
58	20
59	58
60	104
61	126
62	108
63	70
64	8
65	10
66	0
67	0
68	9
69	23
70	80
71	164
72	230
73	230
74	168
75	100
76	9
77	11

[1, 0, 1, 0, 0, 2, 0, 0, 1, 3, 0, 0, 2, 2, 4, 0, 0, 3, 5, 3, 5, 0, 0, 4, 8, 10, 4, 6, 0, 0, 5, 11, 18, 18, 5, 7, 0, 0, 6, 14, 28, 36, 30, 6, 8, 0, 0, 7, 17, 41, 63, 65, 47, 7, 9, 0, 0, 8, 20, 58, 104, 126, 108, 70, 8, 10, 0, 0, 9, 23, 80, 164, 230, 230, 168, 100, 9, 11]

cp's OEIS Frontend

A357645 Triangle read by rows where T(n,k) is the number of integer compositions of n with half-alternating sum k, where k ranges from -n to n in steps of 2.

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	2
6	0
7	0
8	1
9	3
10	0
11	0
12	2
13	2
14	4
15	0
16	0
17	3
18	5
19	3
20	5
21	0
22	0
23	4
24	8
25	10
26	4
27	6
28	0
29	0
30	5
31	11
32	18
33	18
34	5
35	7
36	0
37	0
38	6
39	14
40	28
41	36
42	30
43	6
44	8
45	0
46	0
47	7
48	17
49	41
50	63
51	65
52	47
53	7
54	9
55	0
56	0
57	8
58	20
59	58
60	104
61	126
62	108
63	70
64	8
65	10
66	0
67	0
68	9
69	23
70	80
71	164
72	230
73	230
74	168
75	100
76	9
77	11

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	2
6	0
7	0
8	1
9	3
10	0
11	0
12	2
13	2
14	4
15	0
16	0
17	3
18	5
19	3
20	5
21	0
22	0
23	4
24	8
25	10
26	4
27	6
28	0
29	0
30	5
31	11
32	18
33	18
34	5
35	7
36	0
37	0
38	6
39	14
40	28
41	36
42	30
43	6
44	8
45	0
46	0
47	7
48	17
49	41
50	63
51	65
52	47
53	7
54	9
55	0
56	0
57	8
58	20
59	58
60	104
61	126
62	108
63	70
64	8
65	10
66	0
67	0
68	9
69	23
70	80
71	164
72	230
73	230
74	168
75	100
76	9
77	11

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	2
6	0
7	0
8	1
9	3
10	0
11	0
12	2
13	2
14	4
15	0
16	0
17	3
18	5
19	3
20	5
21	0
22	0
23	4
24	8
25	10
26	4
27	6
28	0
29	0
30	5
31	11
32	18
33	18
34	5
35	7
36	0
37	0
38	6
39	14
40	28
41	36
42	30
43	6
44	8
45	0
46	0
47	7
48	17
49	41
50	63
51	65
52	47
53	7
54	9
55	0
56	0
57	8
58	20
59	58
60	104
61	126
62	108
63	70
64	8
65	10
66	0
67	0
68	9
69	23
70	80
71	164
72	230
73	230
74	168
75	100
76	9
77	11