A143974 - cp's OEIS frontend

A143974 Rectangular array R by antidiagonals: label each unit square in the first quadrant lattice by its northeast vertex (x,y) and mark those having x+y=1(mod 3); then R(m,n) is the number of marked unit squares in the rectangle [0,m]x[0,n].

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

[0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 3, 2, 1, 2, 3, 4, 4, 3, 2, 2, 4, 5, 5, 5, 4, 2, 2, 4, 6, 6, 6, 6, 4, 2, 3, 5, 7, 8, 8, 8, 7, 5, 3, 3, 6, 8, 9, 10, 10, 9, 8, 6, 3, 3, 6, 9, 10, 11, 12, 11, 10, 9, 6, 3, 4, 7, 10, 12, 13, 14, 14, 13, 12, 10, 7, 4, 4, 8, 11, 13, 15, 16, 16, 16, 15, 13, 11, 8, 4, 4, 8]

cp's OEIS Frontend

A143974 Rectangular array R by antidiagonals: label each unit square in the first quadrant lattice by its northeast vertex (x,y) and mark those having x+y=1(mod 3); then R(m,n) is the number of marked unit squares in the rectangle [0,m]x[0,n].

Table of values

List of values

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

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

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