A168396 - cp's OEIS frontend

A168396 Triangle, T(n,k) = number of compositions a(1),...,a(j) of n with a(1) = k, such that a(i+1) <= a(i) + 1 for 1 <= i < j.

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	2
9	1
10	1
11	5
12	4
13	2
14	1
15	1
16	9
17	6
18	4
19	2
20	1
21	1
22	15
23	11
24	7
25	4
26	2
27	1
28	1
29	26
30	19
31	12
32	7
33	4
34	2
35	1
36	1
37	45
38	33
39	21
40	13
41	7
42	4
43	2
44	1
45	1
46	78
47	57
48	37
49	22
50	13
51	7
52	4
53	2
54	1
55	1
56	135
57	99
58	64
59	39
60	23
61	13
62	7
63	4
64	2
65	1
66	1
67	234
68	172
69	112
70	68
71	40
72	23
73	13
74	7
75	4
76	2
77	1
78	1
79	406
80	298
81	194
82	119
83	70
84	41
85	23
86	13
87	7
88	4
89	2
90	1
91	1

[1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 5, 4, 2, 1, 1, 9, 6, 4, 2, 1, 1, 15, 11, 7, 4, 2, 1, 1, 26, 19, 12, 7, 4, 2, 1, 1, 45, 33, 21, 13, 7, 4, 2, 1, 1, 78, 57, 37, 22, 13, 7, 4, 2, 1, 1, 135, 99, 64, 39, 23, 13, 7, 4, 2, 1, 1, 234, 172, 112, 68, 40, 23, 13, 7, 4, 2, 1, 1, 406, 298, 194, 119, 70, 41, 23, 13, 7, 4, 2, 1, 1]

cp's OEIS Frontend

A168396 Triangle, T(n,k) = number of compositions a(1),...,a(j) of n with a(1) = k, such that a(i+1) <= a(i) + 1 for 1 <= i < j.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	2
9	1
10	1
11	5
12	4
13	2
14	1
15	1
16	9
17	6
18	4
19	2
20	1
21	1
22	15
23	11
24	7
25	4
26	2
27	1
28	1
29	26
30	19
31	12
32	7
33	4
34	2
35	1
36	1
37	45
38	33
39	21
40	13
41	7
42	4
43	2
44	1
45	1
46	78
47	57
48	37
49	22
50	13
51	7
52	4
53	2
54	1
55	1
56	135
57	99
58	64
59	39
60	23
61	13
62	7
63	4
64	2
65	1
66	1
67	234
68	172
69	112
70	68
71	40
72	23
73	13
74	7
75	4
76	2
77	1
78	1
79	406
80	298
81	194
82	119
83	70
84	41
85	23
86	13
87	7
88	4
89	2
90	1
91	1

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	2
9	1
10	1
11	5
12	4
13	2
14	1
15	1
16	9
17	6
18	4
19	2
20	1
21	1
22	15
23	11
24	7
25	4
26	2
27	1
28	1
29	26
30	19
31	12
32	7
33	4
34	2
35	1
36	1
37	45
38	33
39	21
40	13
41	7
42	4
43	2
44	1
45	1
46	78
47	57
48	37
49	22
50	13
51	7
52	4
53	2
54	1
55	1
56	135
57	99
58	64
59	39
60	23
61	13
62	7
63	4
64	2
65	1
66	1
67	234
68	172
69	112
70	68
71	40
72	23
73	13
74	7
75	4
76	2
77	1
78	1
79	406
80	298
81	194
82	119
83	70
84	41
85	23
86	13
87	7
88	4
89	2
90	1
91	1

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	2
9	1
10	1
11	5
12	4
13	2
14	1
15	1
16	9
17	6
18	4
19	2
20	1
21	1
22	15
23	11
24	7
25	4
26	2
27	1
28	1
29	26
30	19
31	12
32	7
33	4
34	2
35	1
36	1
37	45
38	33
39	21
40	13
41	7
42	4
43	2
44	1
45	1
46	78
47	57
48	37
49	22
50	13
51	7
52	4
53	2
54	1
55	1
56	135
57	99
58	64
59	39
60	23
61	13
62	7
63	4
64	2
65	1
66	1
67	234
68	172
69	112
70	68
71	40
72	23
73	13
74	7
75	4
76	2
77	1
78	1
79	406
80	298
81	194
82	119
83	70
84	41
85	23
86	13
87	7
88	4
89	2
90	1
91	1