A322156 - cp's OEIS frontend

A322156 Irregular triangle where row n includes all decreasing sequences S = {k_0 = n, k_1, k_2, ..., k_m} in reverse lexicographic order such that the sum of subsequent terms k_j for all i < j <= m does not exceed any k_i.

n	a(n)
1	1
2	1
3	1
4	2
5	2
6	1
7	2
8	1
9	1
10	2
11	2
12	3
13	3
14	1
15	3
16	1
17	1
18	3
19	2
20	3
21	2
22	1
23	3
24	3
25	4
26	4
27	1
28	4
29	1
30	1
31	4
32	2
33	4
34	2
35	1
36	4
37	2
38	1
39	1
40	4
41	2
42	2
43	4
44	3
45	4
46	3
47	1
48	4
49	4
50	5
51	5
52	1
53	5
54	1
55	1
56	5
57	2
58	5
59	2
60	1
61	5
62	2
63	1
64	1
65	5
66	2
67	2
68	5
69	3
70	5
71	3
72	1
73	5
74	3
75	1
76	1
77	5
78	3
79	2
80	5
81	4
82	5
83	4
84	1
85	5
86	5
87	6
88	6
89	1
90	6
91	1
92	1
93	6
94	2
95	6
96	2
97	1
98	6
99	2
100	1
101	1
102	6
103	2
104	2
105	6

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

cp's OEIS Frontend

A322156 Irregular triangle where row n includes all decreasing sequences S = {k_0 = n, k_1, k_2, ..., k_m} in reverse lexicographic order such that the sum of subsequent terms k_j for all i < j <= m does not exceed any k_i.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	2
5	2
6	1
7	2
8	1
9	1
10	2
11	2
12	3
13	3
14	1
15	3
16	1
17	1
18	3
19	2
20	3
21	2
22	1
23	3
24	3
25	4
26	4
27	1
28	4
29	1
30	1
31	4
32	2
33	4
34	2
35	1
36	4
37	2
38	1
39	1
40	4
41	2
42	2
43	4
44	3
45	4
46	3
47	1
48	4
49	4
50	5
51	5
52	1
53	5
54	1
55	1
56	5
57	2
58	5
59	2
60	1
61	5
62	2
63	1
64	1
65	5
66	2
67	2
68	5
69	3
70	5
71	3
72	1
73	5
74	3
75	1
76	1
77	5
78	3
79	2
80	5
81	4
82	5
83	4
84	1
85	5
86	5
87	6
88	6
89	1
90	6
91	1
92	1
93	6
94	2
95	6
96	2
97	1
98	6
99	2
100	1
101	1
102	6
103	2
104	2
105	6

n	a(n)
1	1
2	1
3	1
4	2
5	2
6	1
7	2
8	1
9	1
10	2
11	2
12	3
13	3
14	1
15	3
16	1
17	1
18	3
19	2
20	3
21	2
22	1
23	3
24	3
25	4
26	4
27	1
28	4
29	1
30	1
31	4
32	2
33	4
34	2
35	1
36	4
37	2
38	1
39	1
40	4
41	2
42	2
43	4
44	3
45	4
46	3
47	1
48	4
49	4
50	5
51	5
52	1
53	5
54	1
55	1
56	5
57	2
58	5
59	2
60	1
61	5
62	2
63	1
64	1
65	5
66	2
67	2
68	5
69	3
70	5
71	3
72	1
73	5
74	3
75	1
76	1
77	5
78	3
79	2
80	5
81	4
82	5
83	4
84	1
85	5
86	5
87	6
88	6
89	1
90	6
91	1
92	1
93	6
94	2
95	6
96	2
97	1
98	6
99	2
100	1
101	1
102	6
103	2
104	2
105	6

n	a(n)
1	1
2	1
3	1
4	2
5	2
6	1
7	2
8	1
9	1
10	2
11	2
12	3
13	3
14	1
15	3
16	1
17	1
18	3
19	2
20	3
21	2
22	1
23	3
24	3
25	4
26	4
27	1
28	4
29	1
30	1
31	4
32	2
33	4
34	2
35	1
36	4
37	2
38	1
39	1
40	4
41	2
42	2
43	4
44	3
45	4
46	3
47	1
48	4
49	4
50	5
51	5
52	1
53	5
54	1
55	1
56	5
57	2
58	5
59	2
60	1
61	5
62	2
63	1
64	1
65	5
66	2
67	2
68	5
69	3
70	5
71	3
72	1
73	5
74	3
75	1
76	1
77	5
78	3
79	2
80	5
81	4
82	5
83	4
84	1
85	5
86	5
87	6
88	6
89	1
90	6
91	1
92	1
93	6
94	2
95	6
96	2
97	1
98	6
99	2
100	1
101	1
102	6
103	2
104	2
105	6