A228100 - cp's OEIS frontend

A228100 Triangle in which n-th row lists all partitions of n, such that partitions of n into m parts appear in lexicographic order previous to the partitions of n into k parts if k < m. (Fenner-Loizou tree.)

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

[1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 1, 4, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 3, 1, 1, 3, 2, 4, 1, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 2, 2, 3, 2, 1, 4, 1, 1, 3, 3, 4, 2, 5, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1]

cp's OEIS Frontend

A228100 Triangle in which n-th row lists all partitions of n, such that partitions of n into m parts appear in lexicographic order previous to the partitions of n into k parts if k < m. (Fenner-Loizou tree.)

Table of values

List of values

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

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

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