A356359 - cp's OEIS frontend

A356359 Square array T(m,n) read by antidiagonals: T(m,n) = number of ways a knight can reach (0, 0) from (m, n) on an infinite chessboard while always decreasing its Manhattan distance from the origin, for nonnegative m, n.

n	a(n)
0	1
1	0
2	0
3	0
4	0
5	0
6	0
7	1
8	1
9	0
10	2
11	2
12	0
13	2
14	2
15	4
16	2
17	4
18	4
19	2
20	4
21	4
22	6
23	9
24	6
25	9
26	6
27	4
28	12
29	17
30	14
31	17
32	17
33	14
34	17
35	12
36	34
37	35
38	35
39	40
40	36
41	40
42	35
43	35
44	34
45	70
46	74
47	84
48	86
49	90
50	90
51	86
52	84
53	74
54	70
55	148
56	170
57	185
58	195
59	205
60	206
61	205
62	195
63	185
64	170
65	148

[1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 4, 2, 4, 4, 2, 4, 4, 6, 9, 6, 9, 6, 4, 12, 17, 14, 17, 17, 14, 17, 12, 34, 35, 35, 40, 36, 40, 35, 35, 34, 70, 74, 84, 86, 90, 90, 86, 84, 74, 70, 148, 170, 185, 195, 205, 206, 205, 195, 185, 170, 148]

cp's OEIS Frontend

A356359 Square array T(m,n) read by antidiagonals: T(m,n) = number of ways a knight can reach (0, 0) from (m, n) on an infinite chessboard while always decreasing its Manhattan distance from the origin, for nonnegative m, n.

Table of values

List of values

n	a(n)
0	1
1	0
2	0
3	0
4	0
5	0
6	0
7	1
8	1
9	0
10	2
11	2
12	0
13	2
14	2
15	4
16	2
17	4
18	4
19	2
20	4
21	4
22	6
23	9
24	6
25	9
26	6
27	4
28	12
29	17
30	14
31	17
32	17
33	14
34	17
35	12
36	34
37	35
38	35
39	40
40	36
41	40
42	35
43	35
44	34
45	70
46	74
47	84
48	86
49	90
50	90
51	86
52	84
53	74
54	70
55	148
56	170
57	185
58	195
59	205
60	206
61	205
62	195
63	185
64	170
65	148

n	a(n)
0	1
1	0
2	0
3	0
4	0
5	0
6	0
7	1
8	1
9	0
10	2
11	2
12	0
13	2
14	2
15	4
16	2
17	4
18	4
19	2
20	4
21	4
22	6
23	9
24	6
25	9
26	6
27	4
28	12
29	17
30	14
31	17
32	17
33	14
34	17
35	12
36	34
37	35
38	35
39	40
40	36
41	40
42	35
43	35
44	34
45	70
46	74
47	84
48	86
49	90
50	90
51	86
52	84
53	74
54	70
55	148
56	170
57	185
58	195
59	205
60	206
61	205
62	195
63	185
64	170
65	148

n	a(n)
0	1
1	0
2	0
3	0
4	0
5	0
6	0
7	1
8	1
9	0
10	2
11	2
12	0
13	2
14	2
15	4
16	2
17	4
18	4
19	2
20	4
21	4
22	6
23	9
24	6
25	9
26	6
27	4
28	12
29	17
30	14
31	17
32	17
33	14
34	17
35	12
36	34
37	35
38	35
39	40
40	36
41	40
42	35
43	35
44	34
45	70
46	74
47	84
48	86
49	90
50	90
51	86
52	84
53	74
54	70
55	148
56	170
57	185
58	195
59	205
60	206
61	205
62	195
63	185
64	170
65	148