A038792 - cp's OEIS frontend

A038792 Rectangular array defined by T(i,1) = T(1,j) = 1 for i >= 1 and j >= 1; T(i,j) = max(T(i-1,j) + T(i-1,j-1), T(i-1,j-1) + T(i,j-1)) for i >= 2, j >= 2, read by antidiagonals.

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	1
12	4
13	5
14	4
15	1
16	1
17	5
18	8
19	8
20	5
21	1
22	1
23	6
24	12
25	13
26	12
27	6
28	1
29	1
30	7
31	17
32	21
33	21
34	17
35	7
36	1
37	1
38	8
39	23
40	33
41	34
42	33
43	23
44	8
45	1
46	1
47	9
48	30
49	50
50	55
51	55
52	50
53	30
54	9
55	1
56	1
57	10
58	38
59	73
60	88
61	89
62	88
63	73
64	38
65	10
66	1
67	1
68	11
69	47
70	103
71	138
72	144
73	144
74	138
75	103
76	47
77	11
78	1

[1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 5, 4, 1, 1, 5, 8, 8, 5, 1, 1, 6, 12, 13, 12, 6, 1, 1, 7, 17, 21, 21, 17, 7, 1, 1, 8, 23, 33, 34, 33, 23, 8, 1, 1, 9, 30, 50, 55, 55, 50, 30, 9, 1, 1, 10, 38, 73, 88, 89, 88, 73, 38, 10, 1, 1, 11, 47, 103, 138, 144, 144, 138, 103, 47, 11, 1]

cp's OEIS Frontend

A038792 Rectangular array defined by T(i,1) = T(1,j) = 1 for i >= 1 and j >= 1; T(i,j) = max(T(i-1,j) + T(i-1,j-1), T(i-1,j-1) + T(i,j-1)) for i >= 2, j >= 2, read by antidiagonals.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	1
12	4
13	5
14	4
15	1
16	1
17	5
18	8
19	8
20	5
21	1
22	1
23	6
24	12
25	13
26	12
27	6
28	1
29	1
30	7
31	17
32	21
33	21
34	17
35	7
36	1
37	1
38	8
39	23
40	33
41	34
42	33
43	23
44	8
45	1
46	1
47	9
48	30
49	50
50	55
51	55
52	50
53	30
54	9
55	1
56	1
57	10
58	38
59	73
60	88
61	89
62	88
63	73
64	38
65	10
66	1
67	1
68	11
69	47
70	103
71	138
72	144
73	144
74	138
75	103
76	47
77	11
78	1

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	1
12	4
13	5
14	4
15	1
16	1
17	5
18	8
19	8
20	5
21	1
22	1
23	6
24	12
25	13
26	12
27	6
28	1
29	1
30	7
31	17
32	21
33	21
34	17
35	7
36	1
37	1
38	8
39	23
40	33
41	34
42	33
43	23
44	8
45	1
46	1
47	9
48	30
49	50
50	55
51	55
52	50
53	30
54	9
55	1
56	1
57	10
58	38
59	73
60	88
61	89
62	88
63	73
64	38
65	10
66	1
67	1
68	11
69	47
70	103
71	138
72	144
73	144
74	138
75	103
76	47
77	11
78	1

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	1
12	4
13	5
14	4
15	1
16	1
17	5
18	8
19	8
20	5
21	1
22	1
23	6
24	12
25	13
26	12
27	6
28	1
29	1
30	7
31	17
32	21
33	21
34	17
35	7
36	1
37	1
38	8
39	23
40	33
41	34
42	33
43	23
44	8
45	1
46	1
47	9
48	30
49	50
50	55
51	55
52	50
53	30
54	9
55	1
56	1
57	10
58	38
59	73
60	88
61	89
62	88
63	73
64	38
65	10
66	1
67	1
68	11
69	47
70	103
71	138
72	144
73	144
74	138
75	103
76	47
77	11
78	1