A328908 - cp's OEIS frontend

A328908 Knight's tour on spirally numbered infinite chessboard, when the knight always jumps on the unvisited square closest to the origin, first according to 1-norm, then 2-norm, then number of the square: a(n) = number of the square visited at the n-th move.

n	a(n)
0	0
1	9
2	2
3	5
4	8
5	3
6	6
7	1
8	4
9	7
10	10
11	13
12	28
13	31
14	14
15	11
16	26
17	23
18	44
19	19
20	22
21	43
22	40
23	17
24	34
25	37
26	18
27	15
28	32
29	29
30	52
31	25
32	46
33	21
34	76
35	47
36	50
37	27
38	12
39	33
40	16
41	39
42	20
43	45
44	24
45	51
46	48
47	77
48	114
49	73
50	70
51	105
52	38
53	35
54	60
55	93
56	30
57	53
58	84
59	49
60	78
61	115
62	74
63	41
64	68
65	103
66	36
67	61
68	94
69	57
70	54
71	85
72	124
73	175

[0, 9, 2, 5, 8, 3, 6, 1, 4, 7, 10, 13, 28, 31, 14, 11, 26, 23, 44, 19, 22, 43, 40, 17, 34, 37, 18, 15, 32, 29, 52, 25, 46, 21, 76, 47, 50, 27, 12, 33, 16, 39, 20, 45, 24, 51, 48, 77, 114, 73, 70, 105, 38, 35, 60, 93, 30, 53, 84, 49, 78, 115, 74, 41, 68, 103, 36, 61, 94, 57, 54, 85, 124, 175]

cp's OEIS Frontend

A328908 Knight's tour on spirally numbered infinite chessboard, when the knight always jumps on the unvisited square closest to the origin, first according to 1-norm, then 2-norm, then number of the square: a(n) = number of the square visited at the n-th move.

Table of values

List of values

n	a(n)
0	0
1	9
2	2
3	5
4	8
5	3
6	6
7	1
8	4
9	7
10	10
11	13
12	28
13	31
14	14
15	11
16	26
17	23
18	44
19	19
20	22
21	43
22	40
23	17
24	34
25	37
26	18
27	15
28	32
29	29
30	52
31	25
32	46
33	21
34	76
35	47
36	50
37	27
38	12
39	33
40	16
41	39
42	20
43	45
44	24
45	51
46	48
47	77
48	114
49	73
50	70
51	105
52	38
53	35
54	60
55	93
56	30
57	53
58	84
59	49
60	78
61	115
62	74
63	41
64	68
65	103
66	36
67	61
68	94
69	57
70	54
71	85
72	124
73	175

n	a(n)
0	0
1	9
2	2
3	5
4	8
5	3
6	6
7	1
8	4
9	7
10	10
11	13
12	28
13	31
14	14
15	11
16	26
17	23
18	44
19	19
20	22
21	43
22	40
23	17
24	34
25	37
26	18
27	15
28	32
29	29
30	52
31	25
32	46
33	21
34	76
35	47
36	50
37	27
38	12
39	33
40	16
41	39
42	20
43	45
44	24
45	51
46	48
47	77
48	114
49	73
50	70
51	105
52	38
53	35
54	60
55	93
56	30
57	53
58	84
59	49
60	78
61	115
62	74
63	41
64	68
65	103
66	36
67	61
68	94
69	57
70	54
71	85
72	124
73	175

n	a(n)
0	0
1	9
2	2
3	5
4	8
5	3
6	6
7	1
8	4
9	7
10	10
11	13
12	28
13	31
14	14
15	11
16	26
17	23
18	44
19	19
20	22
21	43
22	40
23	17
24	34
25	37
26	18
27	15
28	32
29	29
30	52
31	25
32	46
33	21
34	76
35	47
36	50
37	27
38	12
39	33
40	16
41	39
42	20
43	45
44	24
45	51
46	48
47	77
48	114
49	73
50	70
51	105
52	38
53	35
54	60
55	93
56	30
57	53
58	84
59	49
60	78
61	115
62	74
63	41
64	68
65	103
66	36
67	61
68	94
69	57
70	54
71	85
72	124
73	175