A290429 - cp's OEIS frontend

A290429 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of (Sum_{j>=0} x^(j(j+1)(j+2)/6))^k.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	0
9	0
10	1
11	3
12	1
13	0
14	0
15	1
16	4
17	3
18	0
19	1
20	0
21	1
22	5
23	6
24	1
25	2
26	0
27	0
28	1
29	6
30	10
31	4
32	3
33	2
34	0
35	0
36	1
37	7
38	15
39	10
40	5
41	6
42	0
43	0
44	0
45	1
46	8
47	21
48	20
49	10
50	12
51	3
52	0
53	0
54	0
55	1
56	9
57	28
58	35
59	21
60	21
61	12
62	0
63	1
64	0
65	0
66	1
67	10
68	36
69	56
70	42
71	36
72	30
73	4
74	3
75	0
76	1
77	0
78	1
79	11
80	45
81	84
82	78
83	63
84	61
85	20
86	6
87	3
88	2
89	0
90	0
91	1
92	12
93	55
94	120
95	135
96	112
97	112
98	60
99	15
100	12
101	3
102	2
103	0
104	0

[1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 3, 1, 0, 0, 1, 4, 3, 0, 1, 0, 1, 5, 6, 1, 2, 0, 0, 1, 6, 10, 4, 3, 2, 0, 0, 1, 7, 15, 10, 5, 6, 0, 0, 0, 1, 8, 21, 20, 10, 12, 3, 0, 0, 0, 1, 9, 28, 35, 21, 21, 12, 0, 1, 0, 0, 1, 10, 36, 56, 42, 36, 30, 4, 3, 0, 1, 0, 1, 11, 45, 84, 78, 63, 61, 20, 6, 3, 2, 0, 0, 1, 12, 55, 120, 135, 112, 112, 60, 15, 12, 3, 2, 0, 0]

cp's OEIS Frontend

A290429 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of (Sum_{j>=0} x^(j(j+1)(j+2)/6))^k.

Table of values

List of values

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	0
9	0
10	1
11	3
12	1
13	0
14	0
15	1
16	4
17	3
18	0
19	1
20	0
21	1
22	5
23	6
24	1
25	2
26	0
27	0
28	1
29	6
30	10
31	4
32	3
33	2
34	0
35	0
36	1
37	7
38	15
39	10
40	5
41	6
42	0
43	0
44	0
45	1
46	8
47	21
48	20
49	10
50	12
51	3
52	0
53	0
54	0
55	1
56	9
57	28
58	35
59	21
60	21
61	12
62	0
63	1
64	0
65	0
66	1
67	10
68	36
69	56
70	42
71	36
72	30
73	4
74	3
75	0
76	1
77	0
78	1
79	11
80	45
81	84
82	78
83	63
84	61
85	20
86	6
87	3
88	2
89	0
90	0
91	1
92	12
93	55
94	120
95	135
96	112
97	112
98	60
99	15
100	12
101	3
102	2
103	0
104	0

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	0
9	0
10	1
11	3
12	1
13	0
14	0
15	1
16	4
17	3
18	0
19	1
20	0
21	1
22	5
23	6
24	1
25	2
26	0
27	0
28	1
29	6
30	10
31	4
32	3
33	2
34	0
35	0
36	1
37	7
38	15
39	10
40	5
41	6
42	0
43	0
44	0
45	1
46	8
47	21
48	20
49	10
50	12
51	3
52	0
53	0
54	0
55	1
56	9
57	28
58	35
59	21
60	21
61	12
62	0
63	1
64	0
65	0
66	1
67	10
68	36
69	56
70	42
71	36
72	30
73	4
74	3
75	0
76	1
77	0
78	1
79	11
80	45
81	84
82	78
83	63
84	61
85	20
86	6
87	3
88	2
89	0
90	0
91	1
92	12
93	55
94	120
95	135
96	112
97	112
98	60
99	15
100	12
101	3
102	2
103	0
104	0

cp's OEIS Frontend

A290429 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of (Sum_{j>=0} x^(j*(j+1)*(j+2)/6))^k.

Table of values

List of values

A290429 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of (Sum_{j>=0} x^(j(j+1)(j+2)/6))^k.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	0
9	0
10	1
11	3
12	1
13	0
14	0
15	1
16	4
17	3
18	0
19	1
20	0
21	1
22	5
23	6
24	1
25	2
26	0
27	0
28	1
29	6
30	10
31	4
32	3
33	2
34	0
35	0
36	1
37	7
38	15
39	10
40	5
41	6
42	0
43	0
44	0
45	1
46	8
47	21
48	20
49	10
50	12
51	3
52	0
53	0
54	0
55	1
56	9
57	28
58	35
59	21
60	21
61	12
62	0
63	1
64	0
65	0
66	1
67	10
68	36
69	56
70	42
71	36
72	30
73	4
74	3
75	0
76	1
77	0
78	1
79	11
80	45
81	84
82	78
83	63
84	61
85	20
86	6
87	3
88	2
89	0
90	0
91	1
92	12
93	55
94	120
95	135
96	112
97	112
98	60
99	15
100	12
101	3
102	2
103	0
104	0