A309038 - cp's OEIS frontend

A309038 Irregular triangle T read by rows: given a square made of n^2 squares of unit area, T(n, k) is the longest perimeter that can be obtained by removing k of n^2 squares such that the modified figure remains connected and without holes (n >= 0 and 0 <= k <= n^2).

n	a(n)
0	0
1	4
2	0
3	8
4	8
5	8
6	4
7	0
8	12
9	14
10	16
11	18
12	20
13	16
14	12
15	8
16	4
17	0
18	16
19	18
20	20
21	22
22	24
23	26
24	28
25	28
26	28
27	26
28	24
29	20
30	16
31	12
32	8
33	4
34	0
35	20
36	22
37	24
38	26
39	28
40	30
41	32
42	34
43	36
44	38
45	40
46	42
47	44
48	42
49	40
50	38
51	36
52	32
53	28
54	24
55	20
56	16
57	12
58	8
59	4
60	0
61	24
62	26
63	28
64	30
65	32
66	34
67	36
68	38
69	40
70	42
71	44
72	46
73	48
74	50
75	52
76	54
77	56
78	56
79	56
80	56
81	56
82	56
83	56
84	52
85	48
86	44
87	40
88	36
89	32
90	28
91	24
92	20
93	16
94	12
95	8
96	4
97	0

[0, 4, 0, 8, 8, 8, 4, 0, 12, 14, 16, 18, 20, 16, 12, 8, 4, 0, 16, 18, 20, 22, 24, 26, 28, 28, 28, 26, 24, 20, 16, 12, 8, 4, 0, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 42, 40, 38, 36, 32, 28, 24, 20, 16, 12, 8, 4, 0, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 56, 56, 56, 56, 56, 56, 52, 48, 44, 40, 36, 32, 28, 24, 20, 16, 12, 8, 4, 0]

cp's OEIS Frontend

A309038 Irregular triangle T read by rows: given a square made of n^2 squares of unit area, T(n, k) is the longest perimeter that can be obtained by removing k of n^2 squares such that the modified figure remains connected and without holes (n >= 0 and 0 <= k <= n^2).

Table of values

List of values

n	a(n)
0	0
1	4
2	0
3	8
4	8
5	8
6	4
7	0
8	12
9	14
10	16
11	18
12	20
13	16
14	12
15	8
16	4
17	0
18	16
19	18
20	20
21	22
22	24
23	26
24	28
25	28
26	28
27	26
28	24
29	20
30	16
31	12
32	8
33	4
34	0
35	20
36	22
37	24
38	26
39	28
40	30
41	32
42	34
43	36
44	38
45	40
46	42
47	44
48	42
49	40
50	38
51	36
52	32
53	28
54	24
55	20
56	16
57	12
58	8
59	4
60	0
61	24
62	26
63	28
64	30
65	32
66	34
67	36
68	38
69	40
70	42
71	44
72	46
73	48
74	50
75	52
76	54
77	56
78	56
79	56
80	56
81	56
82	56
83	56
84	52
85	48
86	44
87	40
88	36
89	32
90	28
91	24
92	20
93	16
94	12
95	8
96	4
97	0

n	a(n)
0	0
1	4
2	0
3	8
4	8
5	8
6	4
7	0
8	12
9	14
10	16
11	18
12	20
13	16
14	12
15	8
16	4
17	0
18	16
19	18
20	20
21	22
22	24
23	26
24	28
25	28
26	28
27	26
28	24
29	20
30	16
31	12
32	8
33	4
34	0
35	20
36	22
37	24
38	26
39	28
40	30
41	32
42	34
43	36
44	38
45	40
46	42
47	44
48	42
49	40
50	38
51	36
52	32
53	28
54	24
55	20
56	16
57	12
58	8
59	4
60	0
61	24
62	26
63	28
64	30
65	32
66	34
67	36
68	38
69	40
70	42
71	44
72	46
73	48
74	50
75	52
76	54
77	56
78	56
79	56
80	56
81	56
82	56
83	56
84	52
85	48
86	44
87	40
88	36
89	32
90	28
91	24
92	20
93	16
94	12
95	8
96	4
97	0

n	a(n)
0	0
1	4
2	0
3	8
4	8
5	8
6	4
7	0
8	12
9	14
10	16
11	18
12	20
13	16
14	12
15	8
16	4
17	0
18	16
19	18
20	20
21	22
22	24
23	26
24	28
25	28
26	28
27	26
28	24
29	20
30	16
31	12
32	8
33	4
34	0
35	20
36	22
37	24
38	26
39	28
40	30
41	32
42	34
43	36
44	38
45	40
46	42
47	44
48	42
49	40
50	38
51	36
52	32
53	28
54	24
55	20
56	16
57	12
58	8
59	4
60	0
61	24
62	26
63	28
64	30
65	32
66	34
67	36
68	38
69	40
70	42
71	44
72	46
73	48
74	50
75	52
76	54
77	56
78	56
79	56
80	56
81	56
82	56
83	56
84	52
85	48
86	44
87	40
88	36
89	32
90	28
91	24
92	20
93	16
94	12
95	8
96	4
97	0