A325687 - cp's OEIS frontend

A325687 Triangle read by rows where T(n,k) is the number of length-k compositions of n such that every distinct consecutive subsequence has a different sum.

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	0
10	1
11	1
12	4
13	4
14	0
15	1
16	1
17	5
18	5
19	0
20	0
21	1
22	1
23	6
24	12
25	4
26	0
27	0
28	1
29	1
30	7
31	12
32	5
33	0
34	0
35	0
36	1
37	1
38	8
39	25
40	8
41	4
42	0
43	0
44	0
45	1
46	1
47	9
48	24
49	12
50	3
51	0
52	0
53	0
54	0
55	1
56	1
57	10
58	40
59	32
60	8
61	4
62	0
63	0
64	0
65	0
66	1
67	1
68	11
69	41
70	41
71	6
72	3
73	0
74	0
75	0
76	0
77	0
78	1

[1, 1, 1, 1, 2, 1, 1, 3, 0, 1, 1, 4, 4, 0, 1, 1, 5, 5, 0, 0, 1, 1, 6, 12, 4, 0, 0, 1, 1, 7, 12, 5, 0, 0, 0, 1, 1, 8, 25, 8, 4, 0, 0, 0, 1, 1, 9, 24, 12, 3, 0, 0, 0, 0, 1, 1, 10, 40, 32, 8, 4, 0, 0, 0, 0, 1, 1, 11, 41, 41, 6, 3, 0, 0, 0, 0, 0, 1]

cp's OEIS Frontend

A325687 Triangle read by rows where T(n,k) is the number of length-k compositions of n such that every distinct consecutive subsequence has a different sum.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	0
10	1
11	1
12	4
13	4
14	0
15	1
16	1
17	5
18	5
19	0
20	0
21	1
22	1
23	6
24	12
25	4
26	0
27	0
28	1
29	1
30	7
31	12
32	5
33	0
34	0
35	0
36	1
37	1
38	8
39	25
40	8
41	4
42	0
43	0
44	0
45	1
46	1
47	9
48	24
49	12
50	3
51	0
52	0
53	0
54	0
55	1
56	1
57	10
58	40
59	32
60	8
61	4
62	0
63	0
64	0
65	0
66	1
67	1
68	11
69	41
70	41
71	6
72	3
73	0
74	0
75	0
76	0
77	0
78	1

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	0
10	1
11	1
12	4
13	4
14	0
15	1
16	1
17	5
18	5
19	0
20	0
21	1
22	1
23	6
24	12
25	4
26	0
27	0
28	1
29	1
30	7
31	12
32	5
33	0
34	0
35	0
36	1
37	1
38	8
39	25
40	8
41	4
42	0
43	0
44	0
45	1
46	1
47	9
48	24
49	12
50	3
51	0
52	0
53	0
54	0
55	1
56	1
57	10
58	40
59	32
60	8
61	4
62	0
63	0
64	0
65	0
66	1
67	1
68	11
69	41
70	41
71	6
72	3
73	0
74	0
75	0
76	0
77	0
78	1

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	0
10	1
11	1
12	4
13	4
14	0
15	1
16	1
17	5
18	5
19	0
20	0
21	1
22	1
23	6
24	12
25	4
26	0
27	0
28	1
29	1
30	7
31	12
32	5
33	0
34	0
35	0
36	1
37	1
38	8
39	25
40	8
41	4
42	0
43	0
44	0
45	1
46	1
47	9
48	24
49	12
50	3
51	0
52	0
53	0
54	0
55	1
56	1
57	10
58	40
59	32
60	8
61	4
62	0
63	0
64	0
65	0
66	1
67	1
68	11
69	41
70	41
71	6
72	3
73	0
74	0
75	0
76	0
77	0
78	1