A096583 - cp's OEIS frontend

A096583 Symmetric square array T(n,k)=T(k,n), read by antidiagonals, such that the n-th diagonal equals the convolution of the n-th row with the antidiagonal sums, with T(0,n)=1, for n>=0.

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	1
6	1
7	5
8	5
9	1
10	1
11	7
12	8
13	7
14	1
15	1
16	9
17	16
18	16
19	9
20	1
21	1
22	11
23	23
24	20
25	23
26	11
27	1
28	1
29	13
30	35
31	44
32	44
33	35
34	13
35	1
36	1
37	15
38	46
39	69
40	44
41	69
42	46
43	15
44	1
45	1
46	17
47	62
48	99
49	108
50	108
51	99
52	62
53	17
54	1
55	1
56	19
57	77
58	147
59	179
60	96
61	179
62	147
63	77
64	19
65	1
66	1
67	21
68	97
69	206
70	272
71	248
72	248
73	272
74	206
75	97
76	21

[1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 7, 8, 7, 1, 1, 9, 16, 16, 9, 1, 1, 11, 23, 20, 23, 11, 1, 1, 13, 35, 44, 44, 35, 13, 1, 1, 15, 46, 69, 44, 69, 46, 15, 1, 1, 17, 62, 99, 108, 108, 99, 62, 17, 1, 1, 19, 77, 147, 179, 96, 179, 147, 77, 19, 1, 1, 21, 97, 206, 272, 248, 248, 272, 206, 97, 21]

cp's OEIS Frontend

A096583 Symmetric square array T(n,k)=T(k,n), read by antidiagonals, such that the n-th diagonal equals the convolution of the n-th row with the antidiagonal sums, with T(0,n)=1, for n>=0.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	1
6	1
7	5
8	5
9	1
10	1
11	7
12	8
13	7
14	1
15	1
16	9
17	16
18	16
19	9
20	1
21	1
22	11
23	23
24	20
25	23
26	11
27	1
28	1
29	13
30	35
31	44
32	44
33	35
34	13
35	1
36	1
37	15
38	46
39	69
40	44
41	69
42	46
43	15
44	1
45	1
46	17
47	62
48	99
49	108
50	108
51	99
52	62
53	17
54	1
55	1
56	19
57	77
58	147
59	179
60	96
61	179
62	147
63	77
64	19
65	1
66	1
67	21
68	97
69	206
70	272
71	248
72	248
73	272
74	206
75	97
76	21

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	1
6	1
7	5
8	5
9	1
10	1
11	7
12	8
13	7
14	1
15	1
16	9
17	16
18	16
19	9
20	1
21	1
22	11
23	23
24	20
25	23
26	11
27	1
28	1
29	13
30	35
31	44
32	44
33	35
34	13
35	1
36	1
37	15
38	46
39	69
40	44
41	69
42	46
43	15
44	1
45	1
46	17
47	62
48	99
49	108
50	108
51	99
52	62
53	17
54	1
55	1
56	19
57	77
58	147
59	179
60	96
61	179
62	147
63	77
64	19
65	1
66	1
67	21
68	97
69	206
70	272
71	248
72	248
73	272
74	206
75	97
76	21

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	1
6	1
7	5
8	5
9	1
10	1
11	7
12	8
13	7
14	1
15	1
16	9
17	16
18	16
19	9
20	1
21	1
22	11
23	23
24	20
25	23
26	11
27	1
28	1
29	13
30	35
31	44
32	44
33	35
34	13
35	1
36	1
37	15
38	46
39	69
40	44
41	69
42	46
43	15
44	1
45	1
46	17
47	62
48	99
49	108
50	108
51	99
52	62
53	17
54	1
55	1
56	19
57	77
58	147
59	179
60	96
61	179
62	147
63	77
64	19
65	1
66	1
67	21
68	97
69	206
70	272
71	248
72	248
73	272
74	206
75	97
76	21