A317023 - cp's OEIS frontend

A317023 Square array A(n,k), n >= 0, k >= 0, read by ascending antidiagonals, where the sequence of row n is the expansion of (1-x^(n+1))/((1-x)^(n+1)).

n	a(n)
0	1
1	1
2	0
3	1
4	2
5	0
6	1
7	3
8	2
9	0
10	1
11	4
12	6
13	2
14	0
15	1
16	5
17	10
18	9
19	2
20	0
21	1
22	6
23	15
24	20
25	12
26	2
27	0
28	1
29	7
30	21
31	35
32	34
33	15
34	2
35	0
36	1
37	8
38	28
39	56
40	70
41	52
42	18
43	2
44	0
45	1
46	9
47	36
48	84
49	126
50	125
51	74
52	21
53	2
54	0
55	1
56	10
57	45
58	120
59	210
60	252
61	205
62	100
63	24
64	2
65	0
66	1
67	11
68	55
69	165
70	330
71	462
72	461
73	315
74	130
75	27
76	2
77	0
78	1
79	12
80	66

[1, 1, 0, 1, 2, 0, 1, 3, 2, 0, 1, 4, 6, 2, 0, 1, 5, 10, 9, 2, 0, 1, 6, 15, 20, 12, 2, 0, 1, 7, 21, 35, 34, 15, 2, 0, 1, 8, 28, 56, 70, 52, 18, 2, 0, 1, 9, 36, 84, 126, 125, 74, 21, 2, 0, 1, 10, 45, 120, 210, 252, 205, 100, 24, 2, 0, 1, 11, 55, 165, 330, 462, 461, 315, 130, 27, 2, 0, 1, 12, 66]

cp's OEIS Frontend

A317023 Square array A(n,k), n >= 0, k >= 0, read by ascending antidiagonals, where the sequence of row n is the expansion of (1-x^(n+1))/((1-x)^(n+1)).

Table of values

List of values

n	a(n)
0	1
1	1
2	0
3	1
4	2
5	0
6	1
7	3
8	2
9	0
10	1
11	4
12	6
13	2
14	0
15	1
16	5
17	10
18	9
19	2
20	0
21	1
22	6
23	15
24	20
25	12
26	2
27	0
28	1
29	7
30	21
31	35
32	34
33	15
34	2
35	0
36	1
37	8
38	28
39	56
40	70
41	52
42	18
43	2
44	0
45	1
46	9
47	36
48	84
49	126
50	125
51	74
52	21
53	2
54	0
55	1
56	10
57	45
58	120
59	210
60	252
61	205
62	100
63	24
64	2
65	0
66	1
67	11
68	55
69	165
70	330
71	462
72	461
73	315
74	130
75	27
76	2
77	0
78	1
79	12
80	66

n	a(n)
0	1
1	1
2	0
3	1
4	2
5	0
6	1
7	3
8	2
9	0
10	1
11	4
12	6
13	2
14	0
15	1
16	5
17	10
18	9
19	2
20	0
21	1
22	6
23	15
24	20
25	12
26	2
27	0
28	1
29	7
30	21
31	35
32	34
33	15
34	2
35	0
36	1
37	8
38	28
39	56
40	70
41	52
42	18
43	2
44	0
45	1
46	9
47	36
48	84
49	126
50	125
51	74
52	21
53	2
54	0
55	1
56	10
57	45
58	120
59	210
60	252
61	205
62	100
63	24
64	2
65	0
66	1
67	11
68	55
69	165
70	330
71	462
72	461
73	315
74	130
75	27
76	2
77	0
78	1
79	12
80	66

n	a(n)
0	1
1	1
2	0
3	1
4	2
5	0
6	1
7	3
8	2
9	0
10	1
11	4
12	6
13	2
14	0
15	1
16	5
17	10
18	9
19	2
20	0
21	1
22	6
23	15
24	20
25	12
26	2
27	0
28	1
29	7
30	21
31	35
32	34
33	15
34	2
35	0
36	1
37	8
38	28
39	56
40	70
41	52
42	18
43	2
44	0
45	1
46	9
47	36
48	84
49	126
50	125
51	74
52	21
53	2
54	0
55	1
56	10
57	45
58	120
59	210
60	252
61	205
62	100
63	24
64	2
65	0
66	1
67	11
68	55
69	165
70	330
71	462
72	461
73	315
74	130
75	27
76	2
77	0
78	1
79	12
80	66