A265247 - cp's OEIS frontend

A265247 Triangle read by rows: T(n,k) is the number of partitions of n in which the 2nd smallest part is k when the partition has at least 2 distinct parts and 0 otherwise; (n>=1, 0 <= k <= n).

n	a(n)
1	1
2	2
3	0
4	2
5	0
6	1
7	3
8	0
9	1
10	1
11	2
12	0
13	2
14	2
15	1
16	4
17	0
18	3
19	1
20	2
21	1
22	2
23	0
24	5
25	3
26	2
27	2
28	1
29	4
30	0
31	7
32	4
33	2
34	2
35	2
36	1
37	3
38	0
39	11
40	6
41	2
42	3
43	2
44	2
45	1
46	4
47	0
48	15
49	8
50	6
51	1
52	3
53	2
54	2
55	1
56	2
57	0
58	22
59	12
60	6
61	4
62	2
63	3
64	2
65	2
66	1
67	6
68	0
69	30
70	15
71	9
72	4
73	3
74	2
75	3
76	2
77	2
78	1
79	2
80	0
81	42
82	22
83	11
84	8
85	2
86	4
87	2
88	3
89	2
90	2
91	1
92	4
93	0
94	56
95	28
96	16
97	10
98	6
99	1
100	4
101	2
102	3
103	2
104	2
105	1
106	4
107	0
108	77
109	38
110	19
111	11
112	7
113	4
114	2
115	4
116	2
117	3
118	2
119	2
120	1

[1, 2, 0, 2, 0, 1, 3, 0, 1, 1, 2, 0, 2, 2, 1, 4, 0, 3, 1, 2, 1, 2, 0, 5, 3, 2, 2, 1, 4, 0, 7, 4, 2, 2, 2, 1, 3, 0, 11, 6, 2, 3, 2, 2, 1, 4, 0, 15, 8, 6, 1, 3, 2, 2, 1, 2, 0, 22, 12, 6, 4, 2, 3, 2, 2, 1, 6, 0, 30, 15, 9, 4, 3, 2, 3, 2, 2, 1, 2, 0, 42, 22, 11, 8, 2, 4, 2, 3, 2, 2, 1, 4, 0, 56, 28, 16, 10, 6, 1, 4, 2, 3, 2, 2, 1, 4, 0, 77, 38, 19, 11, 7, 4, 2, 4, 2, 3, 2, 2, 1]

cp's OEIS Frontend

A265247 Triangle read by rows: T(n,k) is the number of partitions of n in which the 2nd smallest part is k when the partition has at least 2 distinct parts and 0 otherwise; (n>=1, 0 <= k <= n).

Table of values

List of values

n	a(n)
1	1
2	2
3	0
4	2
5	0
6	1
7	3
8	0
9	1
10	1
11	2
12	0
13	2
14	2
15	1
16	4
17	0
18	3
19	1
20	2
21	1
22	2
23	0
24	5
25	3
26	2
27	2
28	1
29	4
30	0
31	7
32	4
33	2
34	2
35	2
36	1
37	3
38	0
39	11
40	6
41	2
42	3
43	2
44	2
45	1
46	4
47	0
48	15
49	8
50	6
51	1
52	3
53	2
54	2
55	1
56	2
57	0
58	22
59	12
60	6
61	4
62	2
63	3
64	2
65	2
66	1
67	6
68	0
69	30
70	15
71	9
72	4
73	3
74	2
75	3
76	2
77	2
78	1
79	2
80	0
81	42
82	22
83	11
84	8
85	2
86	4
87	2
88	3
89	2
90	2
91	1
92	4
93	0
94	56
95	28
96	16
97	10
98	6
99	1
100	4
101	2
102	3
103	2
104	2
105	1
106	4
107	0
108	77
109	38
110	19
111	11
112	7
113	4
114	2
115	4
116	2
117	3
118	2
119	2
120	1

n	a(n)
1	1
2	2
3	0
4	2
5	0
6	1
7	3
8	0
9	1
10	1
11	2
12	0
13	2
14	2
15	1
16	4
17	0
18	3
19	1
20	2
21	1
22	2
23	0
24	5
25	3
26	2
27	2
28	1
29	4
30	0
31	7
32	4
33	2
34	2
35	2
36	1
37	3
38	0
39	11
40	6
41	2
42	3
43	2
44	2
45	1
46	4
47	0
48	15
49	8
50	6
51	1
52	3
53	2
54	2
55	1
56	2
57	0
58	22
59	12
60	6
61	4
62	2
63	3
64	2
65	2
66	1
67	6
68	0
69	30
70	15
71	9
72	4
73	3
74	2
75	3
76	2
77	2
78	1
79	2
80	0
81	42
82	22
83	11
84	8
85	2
86	4
87	2
88	3
89	2
90	2
91	1
92	4
93	0
94	56
95	28
96	16
97	10
98	6
99	1
100	4
101	2
102	3
103	2
104	2
105	1
106	4
107	0
108	77
109	38
110	19
111	11
112	7
113	4
114	2
115	4
116	2
117	3
118	2
119	2
120	1

n	a(n)
1	1
2	2
3	0
4	2
5	0
6	1
7	3
8	0
9	1
10	1
11	2
12	0
13	2
14	2
15	1
16	4
17	0
18	3
19	1
20	2
21	1
22	2
23	0
24	5
25	3
26	2
27	2
28	1
29	4
30	0
31	7
32	4
33	2
34	2
35	2
36	1
37	3
38	0
39	11
40	6
41	2
42	3
43	2
44	2
45	1
46	4
47	0
48	15
49	8
50	6
51	1
52	3
53	2
54	2
55	1
56	2
57	0
58	22
59	12
60	6
61	4
62	2
63	3
64	2
65	2
66	1
67	6
68	0
69	30
70	15
71	9
72	4
73	3
74	2
75	3
76	2
77	2
78	1
79	2
80	0
81	42
82	22
83	11
84	8
85	2
86	4
87	2
88	3
89	2
90	2
91	1
92	4
93	0
94	56
95	28
96	16
97	10
98	6
99	1
100	4
101	2
102	3
103	2
104	2
105	1
106	4
107	0
108	77
109	38
110	19
111	11
112	7
113	4
114	2
115	4
116	2
117	3
118	2
119	2
120	1