A319574 - cp's OEIS frontend

A319574 A(n, k) = [x^k] JacobiTheta3(x)^n, square array read by descending antidiagonals, A(n, k) for n >= 0 and k >= 0.

n	a(n)
0	1
1	0
2	1
3	0
4	2
5	1
6	0
7	0
8	4
9	1
10	0
11	0
12	4
13	6
14	1
15	0
16	2
17	0
18	12
19	8
20	1
21	0
22	0
23	4
24	8
25	24
26	10
27	1
28	0
29	0
30	8
31	6
32	32
33	40
34	12
35	1
36	0
37	0
38	0
39	24
40	24
41	80
42	60
43	14
44	1
45	0
46	0
47	0
48	24
49	48
50	90
51	160
52	84
53	16
54	1
55	0
56	2
57	4
58	0
59	96
60	112
61	252
62	280
63	112
64	18
65	1
66	0
67	0
68	4
69	12
70	64
71	240
72	312
73	574
74	448
75	144
76	20
77	1

[1, 0, 1, 0, 2, 1, 0, 0, 4, 1, 0, 0, 4, 6, 1, 0, 2, 0, 12, 8, 1, 0, 0, 4, 8, 24, 10, 1, 0, 0, 8, 6, 32, 40, 12, 1, 0, 0, 0, 24, 24, 80, 60, 14, 1, 0, 0, 0, 24, 48, 90, 160, 84, 16, 1, 0, 2, 4, 0, 96, 112, 252, 280, 112, 18, 1, 0, 0, 4, 12, 64, 240, 312, 574, 448, 144, 20, 1]

cp's OEIS Frontend

A319574 A(n, k) = [x^k] JacobiTheta3(x)^n, square array read by descending antidiagonals, A(n, k) for n >= 0 and k >= 0.

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	0
4	2
5	1
6	0
7	0
8	4
9	1
10	0
11	0
12	4
13	6
14	1
15	0
16	2
17	0
18	12
19	8
20	1
21	0
22	0
23	4
24	8
25	24
26	10
27	1
28	0
29	0
30	8
31	6
32	32
33	40
34	12
35	1
36	0
37	0
38	0
39	24
40	24
41	80
42	60
43	14
44	1
45	0
46	0
47	0
48	24
49	48
50	90
51	160
52	84
53	16
54	1
55	0
56	2
57	4
58	0
59	96
60	112
61	252
62	280
63	112
64	18
65	1
66	0
67	0
68	4
69	12
70	64
71	240
72	312
73	574
74	448
75	144
76	20
77	1

n	a(n)
0	1
1	0
2	1
3	0
4	2
5	1
6	0
7	0
8	4
9	1
10	0
11	0
12	4
13	6
14	1
15	0
16	2
17	0
18	12
19	8
20	1
21	0
22	0
23	4
24	8
25	24
26	10
27	1
28	0
29	0
30	8
31	6
32	32
33	40
34	12
35	1
36	0
37	0
38	0
39	24
40	24
41	80
42	60
43	14
44	1
45	0
46	0
47	0
48	24
49	48
50	90
51	160
52	84
53	16
54	1
55	0
56	2
57	4
58	0
59	96
60	112
61	252
62	280
63	112
64	18
65	1
66	0
67	0
68	4
69	12
70	64
71	240
72	312
73	574
74	448
75	144
76	20
77	1

n	a(n)
0	1
1	0
2	1
3	0
4	2
5	1
6	0
7	0
8	4
9	1
10	0
11	0
12	4
13	6
14	1
15	0
16	2
17	0
18	12
19	8
20	1
21	0
22	0
23	4
24	8
25	24
26	10
27	1
28	0
29	0
30	8
31	6
32	32
33	40
34	12
35	1
36	0
37	0
38	0
39	24
40	24
41	80
42	60
43	14
44	1
45	0
46	0
47	0
48	24
49	48
50	90
51	160
52	84
53	16
54	1
55	0
56	2
57	4
58	0
59	96
60	112
61	252
62	280
63	112
64	18
65	1
66	0
67	0
68	4
69	12
70	64
71	240
72	312
73	574
74	448
75	144
76	20
77	1