A241719 - cp's OEIS frontend

A241719 Number T(n,k) of compositions of n into distinct parts with exactly k descents; triangle T(n,k), n>=0, 0<=k<=max(floor((sqrt(1+8*n)-3)/2),0), read by rows.

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	2
6	1
7	3
8	2
9	4
10	6
11	1
12	5
13	7
14	1
15	6
16	11
17	2
18	8
19	16
20	3
21	10
22	31
23	15
24	1
25	12
26	36
27	16
28	1
29	15
30	55
31	29
32	2
33	18
34	71
35	41
36	3
37	22
38	101
39	65
40	5
41	27
42	147
43	144
44	32
45	1
46	32
47	188
48	179
49	35
50	1
51	38
52	245
53	269
54	63
55	2
56	46
57	327
58	382
59	93
60	3
61	54
62	421
63	549
64	148
65	5
66	64
67	540
68	739
69	205
70	7

[1, 1, 1, 2, 1, 2, 1, 3, 2, 4, 6, 1, 5, 7, 1, 6, 11, 2, 8, 16, 3, 10, 31, 15, 1, 12, 36, 16, 1, 15, 55, 29, 2, 18, 71, 41, 3, 22, 101, 65, 5, 27, 147, 144, 32, 1, 32, 188, 179, 35, 1, 38, 245, 269, 63, 2, 46, 327, 382, 93, 3, 54, 421, 549, 148, 5, 64, 540, 739, 205, 7]

cp's OEIS Frontend

A241719 Number T(n,k) of compositions of n into distinct parts with exactly k descents; triangle T(n,k), n>=0, 0<=k<=max(floor((sqrt(1+8*n)-3)/2),0), read by rows.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	2
6	1
7	3
8	2
9	4
10	6
11	1
12	5
13	7
14	1
15	6
16	11
17	2
18	8
19	16
20	3
21	10
22	31
23	15
24	1
25	12
26	36
27	16
28	1
29	15
30	55
31	29
32	2
33	18
34	71
35	41
36	3
37	22
38	101
39	65
40	5
41	27
42	147
43	144
44	32
45	1
46	32
47	188
48	179
49	35
50	1
51	38
52	245
53	269
54	63
55	2
56	46
57	327
58	382
59	93
60	3
61	54
62	421
63	549
64	148
65	5
66	64
67	540
68	739
69	205
70	7

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	2
6	1
7	3
8	2
9	4
10	6
11	1
12	5
13	7
14	1
15	6
16	11
17	2
18	8
19	16
20	3
21	10
22	31
23	15
24	1
25	12
26	36
27	16
28	1
29	15
30	55
31	29
32	2
33	18
34	71
35	41
36	3
37	22
38	101
39	65
40	5
41	27
42	147
43	144
44	32
45	1
46	32
47	188
48	179
49	35
50	1
51	38
52	245
53	269
54	63
55	2
56	46
57	327
58	382
59	93
60	3
61	54
62	421
63	549
64	148
65	5
66	64
67	540
68	739
69	205
70	7

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	2
6	1
7	3
8	2
9	4
10	6
11	1
12	5
13	7
14	1
15	6
16	11
17	2
18	8
19	16
20	3
21	10
22	31
23	15
24	1
25	12
26	36
27	16
28	1
29	15
30	55
31	29
32	2
33	18
34	71
35	41
36	3
37	22
38	101
39	65
40	5
41	27
42	147
43	144
44	32
45	1
46	32
47	188
48	179
49	35
50	1
51	38
52	245
53	269
54	63
55	2
56	46
57	327
58	382
59	93
60	3
61	54
62	421
63	549
64	148
65	5
66	64
67	540
68	739
69	205
70	7