A144000 - cp's OEIS frontend

A144000 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 == 0 (mod 3); then R(m,n) is the number of marked squares in the rectangle [0,m]x[0,n].

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

[1, 1, 1, 2, 2, 2, 3, 4, 4, 3, 3, 5, 6, 5, 3, 4, 6, 8, 8, 6, 4, 5, 8, 10, 11, 10, 8, 5, 5, 9, 12, 13, 13, 12, 9, 5, 6, 10, 14, 16, 16, 16, 14, 10, 6, 7, 12, 16, 19, 20, 20, 19, 16, 12, 7, 7, 13, 18, 21, 23, 24, 23, 21, 18, 13, 7, 8, 14, 20, 24, 26, 28, 28, 26, 24, 20, 14, 8, 9, 16, 22, 27, 30]

cp's OEIS Frontend

A144000 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 == 0 (mod 3); then R(m,n) is the number of marked squares in the rectangle [0,m]x[0,n].

Table of values

List of values

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

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

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