A303940 - cp's OEIS frontend

A303940 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of Product_{j>=1} (1-x^(j*(j+k)))/(1-x^j). in powers of x.

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

[1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 3, 2, 1, 1, 2, 3, 4, 4, 3, 1, 1, 2, 3, 4, 5, 5, 3, 1, 1, 2, 3, 5, 6, 8, 7, 5, 1, 1, 2, 3, 5, 6, 9, 10, 10, 5, 1, 1, 2, 3, 5, 7, 10, 12, 14, 13, 8, 1, 1, 2, 3, 5, 7, 10, 13, 17, 18, 17, 9, 1, 1, 2, 3, 5, 7, 11, 14, 19, 23, 25, 22, 13]

cp's OEIS Frontend

A303940 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of Product_{j>=1} (1-x^(j*(j+k)))/(1-x^j). in powers of x.

Table of values

List of values

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

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

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