A349839 - cp's OEIS frontend

A349839 Triangle T(n,k) built by placing all ones on the left edge, [1,0,0,0] repeated on the right edge, and filling the body using the Pascal recurrence T(n,k) = T(n-1,k) + T(n-1,k-1).

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	0
10	1
11	3
12	3
13	1
14	1
15	1
16	4
17	6
18	4
19	2
20	0
21	1
22	5
23	10
24	10
25	6
26	2
27	0
28	1
29	6
30	15
31	20
32	16
33	8
34	2
35	0
36	1
37	7
38	21
39	35
40	36
41	24
42	10
43	2
44	1
45	1
46	8
47	28
48	56
49	71
50	60
51	34
52	12
53	3
54	0
55	1
56	9
57	36
58	84
59	127
60	131
61	94
62	46
63	15
64	3
65	0
66	1
67	10
68	45
69	120
70	211
71	258
72	225
73	140
74	61
75	18
76	3
77	0
78	1
79	11
80	55
81	165
82	331
83	469
84	483
85	365
86	201
87	79
88	21
89	3
90	1

[1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 3, 3, 1, 1, 1, 4, 6, 4, 2, 0, 1, 5, 10, 10, 6, 2, 0, 1, 6, 15, 20, 16, 8, 2, 0, 1, 7, 21, 35, 36, 24, 10, 2, 1, 1, 8, 28, 56, 71, 60, 34, 12, 3, 0, 1, 9, 36, 84, 127, 131, 94, 46, 15, 3, 0, 1, 10, 45, 120, 211, 258, 225, 140, 61, 18, 3, 0, 1, 11, 55, 165, 331, 469, 483, 365, 201, 79, 21, 3, 1]

cp's OEIS Frontend

A349839 Triangle T(n,k) built by placing all ones on the left edge, [1,0,0,0] repeated on the right edge, and filling the body using the Pascal recurrence T(n,k) = T(n-1,k) + T(n-1,k-1).

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	1
9	0
10	1
11	3
12	3
13	1
14	1
15	1
16	4
17	6
18	4
19	2
20	0
21	1
22	5
23	10
24	10
25	6
26	2
27	0
28	1
29	6
30	15
31	20
32	16
33	8
34	2
35	0
36	1
37	7
38	21
39	35
40	36
41	24
42	10
43	2
44	1
45	1
46	8
47	28
48	56
49	71
50	60
51	34
52	12
53	3
54	0
55	1
56	9
57	36
58	84
59	127
60	131
61	94
62	46
63	15
64	3
65	0
66	1
67	10
68	45
69	120
70	211
71	258
72	225
73	140
74	61
75	18
76	3
77	0
78	1
79	11
80	55
81	165
82	331
83	469
84	483
85	365
86	201
87	79
88	21
89	3
90	1

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	0
10	1
11	3
12	3
13	1
14	1
15	1
16	4
17	6
18	4
19	2
20	0
21	1
22	5
23	10
24	10
25	6
26	2
27	0
28	1
29	6
30	15
31	20
32	16
33	8
34	2
35	0
36	1
37	7
38	21
39	35
40	36
41	24
42	10
43	2
44	1
45	1
46	8
47	28
48	56
49	71
50	60
51	34
52	12
53	3
54	0
55	1
56	9
57	36
58	84
59	127
60	131
61	94
62	46
63	15
64	3
65	0
66	1
67	10
68	45
69	120
70	211
71	258
72	225
73	140
74	61
75	18
76	3
77	0
78	1
79	11
80	55
81	165
82	331
83	469
84	483
85	365
86	201
87	79
88	21
89	3
90	1

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	0
10	1
11	3
12	3
13	1
14	1
15	1
16	4
17	6
18	4
19	2
20	0
21	1
22	5
23	10
24	10
25	6
26	2
27	0
28	1
29	6
30	15
31	20
32	16
33	8
34	2
35	0
36	1
37	7
38	21
39	35
40	36
41	24
42	10
43	2
44	1
45	1
46	8
47	28
48	56
49	71
50	60
51	34
52	12
53	3
54	0
55	1
56	9
57	36
58	84
59	127
60	131
61	94
62	46
63	15
64	3
65	0
66	1
67	10
68	45
69	120
70	211
71	258
72	225
73	140
74	61
75	18
76	3
77	0
78	1
79	11
80	55
81	165
82	331
83	469
84	483
85	365
86	201
87	79
88	21
89	3
90	1