A132892 - cp's OEIS frontend

A132892 Square array T(m,n) read by antidiagonals; T(m,n) is the number of equivalence classes in the set of sequences of n nonnegative integers that sum to m, generated by the equivalence relation defined in the following manner: we write a sequence in the form a[1]0a[2]0...0a[p], where each a[i] is a (possibly empty) sequence of positive integers; two sequences in this form, a[1]0a[2]0...0a[p] and b[1]0b[2]0...0b[q] are said to be equivalent if p=q and b[1],b[2],...,b[q] is a cyclic permutation of a[1],a[2],...a[p].

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	1
12	4
13	5
14	3
15	1
16	1
17	5
18	9
19	7
20	4
21	1
22	1
23	6
24	13
25	14
26	10
27	4
28	1
29	1
30	7
31	19
32	25
33	22
34	12
35	5
36	1
37	1
38	8
39	25
40	41
41	42
42	30
43	15
44	5
45	1
46	1
47	9
48	33
49	63
50	79
51	66
52	43
53	19
54	6
55	1
56	1
57	10
58	41
59	92
60	131
61	132
62	99
63	55
64	22
65	6
66	1
67	1
68	11
69	51
70	129
71	213
72	245
73	217
74	143
75	73
76	26
77	7
78	1
79	1
80	12
81	61
82	175
83	325
84	428
85	429
86	335
87	201
88	91
89	31
90	7
91	1

[1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 5, 3, 1, 1, 5, 9, 7, 4, 1, 1, 6, 13, 14, 10, 4, 1, 1, 7, 19, 25, 22, 12, 5, 1, 1, 8, 25, 41, 42, 30, 15, 5, 1, 1, 9, 33, 63, 79, 66, 43, 19, 6, 1, 1, 10, 41, 92, 131, 132, 99, 55, 22, 6, 1, 1, 11, 51, 129, 213, 245, 217, 143, 73, 26, 7, 1, 1, 12, 61, 175, 325, 428, 429, 335, 201, 91, 31, 7, 1]

cp's OEIS Frontend

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	1
12	4
13	5
14	3
15	1
16	1
17	5
18	9
19	7
20	4
21	1
22	1
23	6
24	13
25	14
26	10
27	4
28	1
29	1
30	7
31	19
32	25
33	22
34	12
35	5
36	1
37	1
38	8
39	25
40	41
41	42
42	30
43	15
44	5
45	1
46	1
47	9
48	33
49	63
50	79
51	66
52	43
53	19
54	6
55	1
56	1
57	10
58	41
59	92
60	131
61	132
62	99
63	55
64	22
65	6
66	1
67	1
68	11
69	51
70	129
71	213
72	245
73	217
74	143
75	73
76	26
77	7
78	1
79	1
80	12
81	61
82	175
83	325
84	428
85	429
86	335
87	201
88	91
89	31
90	7
91	1

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	1
12	4
13	5
14	3
15	1
16	1
17	5
18	9
19	7
20	4
21	1
22	1
23	6
24	13
25	14
26	10
27	4
28	1
29	1
30	7
31	19
32	25
33	22
34	12
35	5
36	1
37	1
38	8
39	25
40	41
41	42
42	30
43	15
44	5
45	1
46	1
47	9
48	33
49	63
50	79
51	66
52	43
53	19
54	6
55	1
56	1
57	10
58	41
59	92
60	131
61	132
62	99
63	55
64	22
65	6
66	1
67	1
68	11
69	51
70	129
71	213
72	245
73	217
74	143
75	73
76	26
77	7
78	1
79	1
80	12
81	61
82	175
83	325
84	428
85	429
86	335
87	201
88	91
89	31
90	7
91	1

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	1
12	4
13	5
14	3
15	1
16	1
17	5
18	9
19	7
20	4
21	1
22	1
23	6
24	13
25	14
26	10
27	4
28	1
29	1
30	7
31	19
32	25
33	22
34	12
35	5
36	1
37	1
38	8
39	25
40	41
41	42
42	30
43	15
44	5
45	1
46	1
47	9
48	33
49	63
50	79
51	66
52	43
53	19
54	6
55	1
56	1
57	10
58	41
59	92
60	131
61	132
62	99
63	55
64	22
65	6
66	1
67	1
68	11
69	51
70	129
71	213
72	245
73	217
74	143
75	73
76	26
77	7
78	1
79	1
80	12
81	61
82	175
83	325
84	428
85	429
86	335
87	201
88	91
89	31
90	7
91	1