A143998 - cp's OEIS frontend

A143998 Rectangular array by antidiagonals: label each unit square in the first quadrant lattice by its northeast vertex (x,y) and mark squares for which (x,y) is congruent mod 4 to one of the following: (1,1), (2,3), (3,2), (4,0); then R(m,n) is the number of marked squares in the rectangle [0,m]x[0,n].

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

[0, 1, 1, 2, 3, 2, 3, 4, 4, 3, 3, 6, 6, 6, 3, 4, 7, 9, 9, 7, 4, 5, 9, 11, 12, 11, 9, 5, 6, 10, 13, 15, 15, 13, 10, 6, 6, 12, 15, 18, 18, 18, 15, 12, 6, 7, 13, 18, 21, 22, 22, 21, 18, 13, 7, 8, 15, 20, 24, 26, 27, 26, 24, 20, 15, 8, 9, 16, 22, 27, 30, 31, 31, 30, 27, 22, 16, 9, 9, 18, 24, 30]

cp's OEIS Frontend

Table of values

List of values

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

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

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