A238345 - cp's OEIS frontend

A238345 Triangle T(n,k) read by rows: T(n,k) is the number of compositions of n where the k-th part is the first occurrence of a largest part, n>=1, 1<=k<=n.

n	a(n)
1	1
2	2
3	0
4	3
5	1
6	0
7	5
8	2
9	1
10	0
11	8
12	5
13	2
14	1
15	0
16	14
17	9
18	6
19	2
20	1
21	0
22	24
23	18
24	12
25	7
26	2
27	1
28	0
29	43
30	33
31	25
32	16
33	8
34	2
35	1
36	0
37	77
38	62
39	49
40	35
41	21
42	9
43	2
44	1
45	0
46	140
47	115
48	95
49	73
50	49
51	27
52	10
53	2
54	1
55	0
56	256
57	215
58	181
59	148
60	108
61	68
62	34
63	11
64	2
65	1
66	0
67	472
68	401
69	346
70	291
71	230
72	158
73	93
74	42
75	12
76	2
77	1
78	0
79	874
80	753
81	657
82	569
83	470
84	353
85	228
86	125
87	51
88	13
89	2
90	1
91	0

[1, 2, 0, 3, 1, 0, 5, 2, 1, 0, 8, 5, 2, 1, 0, 14, 9, 6, 2, 1, 0, 24, 18, 12, 7, 2, 1, 0, 43, 33, 25, 16, 8, 2, 1, 0, 77, 62, 49, 35, 21, 9, 2, 1, 0, 140, 115, 95, 73, 49, 27, 10, 2, 1, 0, 256, 215, 181, 148, 108, 68, 34, 11, 2, 1, 0, 472, 401, 346, 291, 230, 158, 93, 42, 12, 2, 1, 0, 874, 753, 657, 569, 470, 353, 228, 125, 51, 13, 2, 1, 0]

cp's OEIS Frontend

A238345 Triangle T(n,k) read by rows: T(n,k) is the number of compositions of n where the k-th part is the first occurrence of a largest part, n>=1, 1<=k<=n.

Table of values

List of values

n	a(n)
1	1
2	2
3	0
4	3
5	1
6	0
7	5
8	2
9	1
10	0
11	8
12	5
13	2
14	1
15	0
16	14
17	9
18	6
19	2
20	1
21	0
22	24
23	18
24	12
25	7
26	2
27	1
28	0
29	43
30	33
31	25
32	16
33	8
34	2
35	1
36	0
37	77
38	62
39	49
40	35
41	21
42	9
43	2
44	1
45	0
46	140
47	115
48	95
49	73
50	49
51	27
52	10
53	2
54	1
55	0
56	256
57	215
58	181
59	148
60	108
61	68
62	34
63	11
64	2
65	1
66	0
67	472
68	401
69	346
70	291
71	230
72	158
73	93
74	42
75	12
76	2
77	1
78	0
79	874
80	753
81	657
82	569
83	470
84	353
85	228
86	125
87	51
88	13
89	2
90	1
91	0

n	a(n)
1	1
2	2
3	0
4	3
5	1
6	0
7	5
8	2
9	1
10	0
11	8
12	5
13	2
14	1
15	0
16	14
17	9
18	6
19	2
20	1
21	0
22	24
23	18
24	12
25	7
26	2
27	1
28	0
29	43
30	33
31	25
32	16
33	8
34	2
35	1
36	0
37	77
38	62
39	49
40	35
41	21
42	9
43	2
44	1
45	0
46	140
47	115
48	95
49	73
50	49
51	27
52	10
53	2
54	1
55	0
56	256
57	215
58	181
59	148
60	108
61	68
62	34
63	11
64	2
65	1
66	0
67	472
68	401
69	346
70	291
71	230
72	158
73	93
74	42
75	12
76	2
77	1
78	0
79	874
80	753
81	657
82	569
83	470
84	353
85	228
86	125
87	51
88	13
89	2
90	1
91	0

n	a(n)
1	1
2	2
3	0
4	3
5	1
6	0
7	5
8	2
9	1
10	0
11	8
12	5
13	2
14	1
15	0
16	14
17	9
18	6
19	2
20	1
21	0
22	24
23	18
24	12
25	7
26	2
27	1
28	0
29	43
30	33
31	25
32	16
33	8
34	2
35	1
36	0
37	77
38	62
39	49
40	35
41	21
42	9
43	2
44	1
45	0
46	140
47	115
48	95
49	73
50	49
51	27
52	10
53	2
54	1
55	0
56	256
57	215
58	181
59	148
60	108
61	68
62	34
63	11
64	2
65	1
66	0
67	472
68	401
69	346
70	291
71	230
72	158
73	93
74	42
75	12
76	2
77	1
78	0
79	874
80	753
81	657
82	569
83	470
84	353
85	228
86	125
87	51
88	13
89	2
90	1
91	0