A264047 - cp's OEIS frontend

A264047 Triangle read by rows: T(n,k) (n>=0, k>=0) is the number of integer partitions lambda of n such that there are k compositions mu such that the Gelfand-Tsetlin polytope for lambda and mu is non-integral.

n	a(n)
0	1
1	1
2	2
3	3
4	5
5	5
6	2
7	6
8	3
9	0
10	1
11	0
12	0
13	1
14	7
15	1
16	0
17	0
18	0
19	0
20	0
21	2
22	2
23	0
24	0
25	1
26	0
27	0
28	0
29	0
30	1
31	1
32	8
33	1
34	0
35	0
36	0
37	0
38	0
39	0
40	2
41	0
42	0
43	1
44	0
45	0
46	1
47	1
48	0
49	0
50	0
51	0
52	0
53	0
54	0
55	0
56	1
57	0
58	0
59	0
60	1
61	0
62	1
63	2
64	0
65	0
66	0
67	0
68	0
69	0
70	0
71	1
72	0
73	0
74	0
75	1
76	0
77	0
78	0
79	0
80	0
81	0
82	0
83	0
84	0
85	1

[1, 1, 2, 3, 5, 5, 2, 6, 3, 0, 1, 0, 0, 1, 7, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 8, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]

cp's OEIS Frontend

A264047 Triangle read by rows: T(n,k) (n>=0, k>=0) is the number of integer partitions lambda of n such that there are k compositions mu such that the Gelfand-Tsetlin polytope for lambda and mu is non-integral.

Table of values

List of values

n	a(n)
0	1
1	1
2	2
3	3
4	5
5	5
6	2
7	6
8	3
9	0
10	1
11	0
12	0
13	1
14	7
15	1
16	0
17	0
18	0
19	0
20	0
21	2
22	2
23	0
24	0
25	1
26	0
27	0
28	0
29	0
30	1
31	1
32	8
33	1
34	0
35	0
36	0
37	0
38	0
39	0
40	2
41	0
42	0
43	1
44	0
45	0
46	1
47	1
48	0
49	0
50	0
51	0
52	0
53	0
54	0
55	0
56	1
57	0
58	0
59	0
60	1
61	0
62	1
63	2
64	0
65	0
66	0
67	0
68	0
69	0
70	0
71	1
72	0
73	0
74	0
75	1
76	0
77	0
78	0
79	0
80	0
81	0
82	0
83	0
84	0
85	1

n	a(n)
0	1
1	1
2	2
3	3
4	5
5	5
6	2
7	6
8	3
9	0
10	1
11	0
12	0
13	1
14	7
15	1
16	0
17	0
18	0
19	0
20	0
21	2
22	2
23	0
24	0
25	1
26	0
27	0
28	0
29	0
30	1
31	1
32	8
33	1
34	0
35	0
36	0
37	0
38	0
39	0
40	2
41	0
42	0
43	1
44	0
45	0
46	1
47	1
48	0
49	0
50	0
51	0
52	0
53	0
54	0
55	0
56	1
57	0
58	0
59	0
60	1
61	0
62	1
63	2
64	0
65	0
66	0
67	0
68	0
69	0
70	0
71	1
72	0
73	0
74	0
75	1
76	0
77	0
78	0
79	0
80	0
81	0
82	0
83	0
84	0
85	1

n	a(n)
0	1
1	1
2	2
3	3
4	5
5	5
6	2
7	6
8	3
9	0
10	1
11	0
12	0
13	1
14	7
15	1
16	0
17	0
18	0
19	0
20	0
21	2
22	2
23	0
24	0
25	1
26	0
27	0
28	0
29	0
30	1
31	1
32	8
33	1
34	0
35	0
36	0
37	0
38	0
39	0
40	2
41	0
42	0
43	1
44	0
45	0
46	1
47	1
48	0
49	0
50	0
51	0
52	0
53	0
54	0
55	0
56	1
57	0
58	0
59	0
60	1
61	0
62	1
63	2
64	0
65	0
66	0
67	0
68	0
69	0
70	0
71	1
72	0
73	0
74	0
75	1
76	0
77	0
78	0
79	0
80	0
81	0
82	0
83	0
84	0
85	1