A344612 - cp's OEIS frontend

A344612 Triangle read by rows where T(n,k) is the number of integer partitions of n with reverse-alternating sum k ranging from -n to n in steps of 2.

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

[1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 3, 3, 1, 1, 0, 1, 2, 4, 3, 3, 1, 1, 0, 1, 2, 4, 5, 5, 3, 1, 1, 0, 1, 2, 4, 7, 5, 6, 3, 1, 1, 0, 1, 2, 4, 8, 7, 9, 6, 3, 1, 1, 0, 1, 2, 4, 8, 12, 7, 11, 6, 3, 1, 1, 0, 1, 2, 4, 8, 14, 11, 14, 12, 6, 3, 1, 1]

cp's OEIS Frontend

A344612 Triangle read by rows where T(n,k) is the number of integer partitions of n with reverse-alternating sum k ranging from -n to n in steps of 2.

Table of values

List of values

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

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

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