A264051 - cp's OEIS frontend

A264051 Triangle read by rows: T(n,k) (n>=0, 0<=k<=A264078(n)) is the number of integer partitions of n having k standard Young tableaux such that no entries i and i+1 appear in the same row.

n	a(n)
0	0
1	1
2	0
3	1
4	1
5	1
6	1
7	2
8	2
9	2
10	1
11	2
12	3
13	0
14	2
15	4
16	2
17	1
18	1
19	1
20	1
21	1
22	4
23	3
24	1
25	0
26	0
27	2
28	2
29	0
30	1
31	0
32	1
33	0
34	0
35	0
36	1
37	7
38	2
39	0
40	0
41	1
42	0
43	3
44	0
45	1
46	0
47	2
48	1
49	0
50	0
51	0
52	1
53	1
54	0
55	1
56	0
57	0
58	0
59	0
60	0
61	0
62	0
63	0
64	0
65	1
66	0
67	1
68	7
69	3
70	1
71	2
72	0
73	0
74	1
75	2
76	0
77	0
78	1
79	0
80	0
81	0
82	0
83	1
84	0
85	0
86	0
87	0
88	0
89	1
90	0
91	1
92	1
93	0
94	0
95	0
96	1
97	0
98	0
99	0
100	0
101	1
102	1
103	1

[0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 0, 2, 4, 2, 1, 1, 1, 1, 1, 4, 3, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 7, 2, 0, 0, 1, 0, 3, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 7, 3, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1]

cp's OEIS Frontend

A264051 Triangle read by rows: T(n,k) (n>=0, 0<=k<=A264078(n)) is the number of integer partitions of n having k standard Young tableaux such that no entries i and i+1 appear in the same row.

Table of values

List of values

n	a(n)
0	0
1	1
2	0
3	1
4	1
5	1
6	1
7	2
8	2
9	2
10	1
11	2
12	3
13	0
14	2
15	4
16	2
17	1
18	1
19	1
20	1
21	1
22	4
23	3
24	1
25	0
26	0
27	2
28	2
29	0
30	1
31	0
32	1
33	0
34	0
35	0
36	1
37	7
38	2
39	0
40	0
41	1
42	0
43	3
44	0
45	1
46	0
47	2
48	1
49	0
50	0
51	0
52	1
53	1
54	0
55	1
56	0
57	0
58	0
59	0
60	0
61	0
62	0
63	0
64	0
65	1
66	0
67	1
68	7
69	3
70	1
71	2
72	0
73	0
74	1
75	2
76	0
77	0
78	1
79	0
80	0
81	0
82	0
83	1
84	0
85	0
86	0
87	0
88	0
89	1
90	0
91	1
92	1
93	0
94	0
95	0
96	1
97	0
98	0
99	0
100	0
101	1
102	1
103	1

n	a(n)
0	0
1	1
2	0
3	1
4	1
5	1
6	1
7	2
8	2
9	2
10	1
11	2
12	3
13	0
14	2
15	4
16	2
17	1
18	1
19	1
20	1
21	1
22	4
23	3
24	1
25	0
26	0
27	2
28	2
29	0
30	1
31	0
32	1
33	0
34	0
35	0
36	1
37	7
38	2
39	0
40	0
41	1
42	0
43	3
44	0
45	1
46	0
47	2
48	1
49	0
50	0
51	0
52	1
53	1
54	0
55	1
56	0
57	0
58	0
59	0
60	0
61	0
62	0
63	0
64	0
65	1
66	0
67	1
68	7
69	3
70	1
71	2
72	0
73	0
74	1
75	2
76	0
77	0
78	1
79	0
80	0
81	0
82	0
83	1
84	0
85	0
86	0
87	0
88	0
89	1
90	0
91	1
92	1
93	0
94	0
95	0
96	1
97	0
98	0
99	0
100	0
101	1
102	1
103	1

n	a(n)
0	0
1	1
2	0
3	1
4	1
5	1
6	1
7	2
8	2
9	2
10	1
11	2
12	3
13	0
14	2
15	4
16	2
17	1
18	1
19	1
20	1
21	1
22	4
23	3
24	1
25	0
26	0
27	2
28	2
29	0
30	1
31	0
32	1
33	0
34	0
35	0
36	1
37	7
38	2
39	0
40	0
41	1
42	0
43	3
44	0
45	1
46	0
47	2
48	1
49	0
50	0
51	0
52	1
53	1
54	0
55	1
56	0
57	0
58	0
59	0
60	0
61	0
62	0
63	0
64	0
65	1
66	0
67	1
68	7
69	3
70	1
71	2
72	0
73	0
74	1
75	2
76	0
77	0
78	1
79	0
80	0
81	0
82	0
83	1
84	0
85	0
86	0
87	0
88	0
89	1
90	0
91	1
92	1
93	0
94	0
95	0
96	1
97	0
98	0
99	0
100	0
101	1
102	1
103	1