A136406 - cp's OEIS frontend

A136406 Triangle read by rows: T(n,k) is the number of bi-partitions of the pair (n,k) into pairs (n_i,k_i) of positive integers such that sum k_i = k and sum n_i*k_i^2 = n.

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

[1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 3, 1, 1, 1, 3, 4, 3, 1, 1, 1, 3, 5, 4, 3, 1, 1, 1, 5, 6, 8, 4, 3, 1, 1, 1, 4, 10, 8, 8, 4, 3, 1, 1, 1, 5, 10, 14, 11, 8, 4, 3, 1, 1, 1, 5, 12, 16, 17, 11, 8, 4, 3, 1, 1, 1, 7, 14, 23, 21, 21, 11, 8, 4, 3, 1, 1, 1, 6, 17, 25, 32, 24, 21, 11, 8, 4, 3, 1, 1]

cp's OEIS Frontend

A136406 Triangle read by rows: T(n,k) is the number of bi-partitions of the pair (n,k) into pairs (n_i,k_i) of positive integers such that sum k_i = k and sum n_i*k_i^2 = n.

Table of values

List of values

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

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

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