A299765 - cp's OEIS frontend

A299765 Irregular triangle read by rows, T(n,k), n >= 1, k >= 1, in which row n lists the partitions of n into consecutive parts, with the partitions ordered by increasing number of parts.

n	a(n)
1	1
2	2
3	3
4	2
5	1
6	4
7	5
8	3
9	2
10	6
11	3
12	2
13	1
14	7
15	4
16	3
17	8
18	9
19	5
20	4
21	4
22	3
23	2
24	10
25	4
26	3
27	2
28	1
29	11
30	6
31	5
32	12
33	5
34	4
35	3
36	13
37	7
38	6
39	14
40	5
41	4
42	3
43	2
44	15
45	8
46	7
47	6
48	5
49	4
50	5
51	4
52	3
53	2
54	1
55	16
56	17
57	9
58	8
59	18
60	7
61	6
62	5
63	6
64	5
65	4
66	3
67	19
68	10
69	9
70	20
71	6
72	5
73	4
74	3
75	2
76	21
77	11
78	10
79	8
80	7
81	6
82	6
83	5
84	4
85	3
86	2
87	1
88	22
89	7
90	6
91	5
92	4
93	23
94	12
95	11

[1, 2, 3, 2, 1, 4, 5, 3, 2, 6, 3, 2, 1, 7, 4, 3, 8, 9, 5, 4, 4, 3, 2, 10, 4, 3, 2, 1, 11, 6, 5, 12, 5, 4, 3, 13, 7, 6, 14, 5, 4, 3, 2, 15, 8, 7, 6, 5, 4, 5, 4, 3, 2, 1, 16, 17, 9, 8, 18, 7, 6, 5, 6, 5, 4, 3, 19, 10, 9, 20, 6, 5, 4, 3, 2, 21, 11, 10, 8, 7, 6, 6, 5, 4, 3, 2, 1, 22, 7, 6, 5, 4, 23, 12, 11]

cp's OEIS Frontend

A299765 Irregular triangle read by rows, T(n,k), n >= 1, k >= 1, in which row n lists the partitions of n into consecutive parts, with the partitions ordered by increasing number of parts.

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	2
5	1
6	4
7	5
8	3
9	2
10	6
11	3
12	2
13	1
14	7
15	4
16	3
17	8
18	9
19	5
20	4
21	4
22	3
23	2
24	10
25	4
26	3
27	2
28	1
29	11
30	6
31	5
32	12
33	5
34	4
35	3
36	13
37	7
38	6
39	14
40	5
41	4
42	3
43	2
44	15
45	8
46	7
47	6
48	5
49	4
50	5
51	4
52	3
53	2
54	1
55	16
56	17
57	9
58	8
59	18
60	7
61	6
62	5
63	6
64	5
65	4
66	3
67	19
68	10
69	9
70	20
71	6
72	5
73	4
74	3
75	2
76	21
77	11
78	10
79	8
80	7
81	6
82	6
83	5
84	4
85	3
86	2
87	1
88	22
89	7
90	6
91	5
92	4
93	23
94	12
95	11

n	a(n)
1	1
2	2
3	3
4	2
5	1
6	4
7	5
8	3
9	2
10	6
11	3
12	2
13	1
14	7
15	4
16	3
17	8
18	9
19	5
20	4
21	4
22	3
23	2
24	10
25	4
26	3
27	2
28	1
29	11
30	6
31	5
32	12
33	5
34	4
35	3
36	13
37	7
38	6
39	14
40	5
41	4
42	3
43	2
44	15
45	8
46	7
47	6
48	5
49	4
50	5
51	4
52	3
53	2
54	1
55	16
56	17
57	9
58	8
59	18
60	7
61	6
62	5
63	6
64	5
65	4
66	3
67	19
68	10
69	9
70	20
71	6
72	5
73	4
74	3
75	2
76	21
77	11
78	10
79	8
80	7
81	6
82	6
83	5
84	4
85	3
86	2
87	1
88	22
89	7
90	6
91	5
92	4
93	23
94	12
95	11

n	a(n)
1	1
2	2
3	3
4	2
5	1
6	4
7	5
8	3
9	2
10	6
11	3
12	2
13	1
14	7
15	4
16	3
17	8
18	9
19	5
20	4
21	4
22	3
23	2
24	10
25	4
26	3
27	2
28	1
29	11
30	6
31	5
32	12
33	5
34	4
35	3
36	13
37	7
38	6
39	14
40	5
41	4
42	3
43	2
44	15
45	8
46	7
47	6
48	5
49	4
50	5
51	4
52	3
53	2
54	1
55	16
56	17
57	9
58	8
59	18
60	7
61	6
62	5
63	6
64	5
65	4
66	3
67	19
68	10
69	9
70	20
71	6
72	5
73	4
74	3
75	2
76	21
77	11
78	10
79	8
80	7
81	6
82	6
83	5
84	4
85	3
86	2
87	1
88	22
89	7
90	6
91	5
92	4
93	23
94	12
95	11