A143996 - cp's OEIS frontend

A143996 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: (1,4), (2,2), (3,3), (4,1); then R(m,n) is the number of marked squares in the rectangle [0,m]x[0,n].

n	a(n)
1	0
2	0
3	0
4	0
5	1
6	0
7	1
8	1
9	1
10	1
11	1
12	2
13	2
14	2
15	1
16	1
17	2
18	3
19	3
20	2
21	1
22	1
23	3
24	3
25	4
26	3
27	3
28	1
29	2
30	3
31	4
32	5
33	5
34	4
35	3
36	2
37	2
38	4
39	5
40	6
41	6
42	6
43	5
44	4
45	2
46	2
47	4
48	6
49	7
50	7
51	7
52	7
53	6
54	4
55	2
56	2
57	5
58	6
59	8
60	8
61	9
62	8
63	8
64	6
65	5
66	2
67	3
68	5
69	7
70	9
71	10
72	10
73	10
74	10
75	9
76	7
77	5
78	3
79	3
80	6
81	8
82	10
83	11
84	12
85	12
86	12
87	11
88	10
89	8
90	6
91	3
92	3
93	6
94	9
95	11
96	12
97	13
98	14

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

cp's OEIS Frontend

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	0
5	1
6	0
7	1
8	1
9	1
10	1
11	1
12	2
13	2
14	2
15	1
16	1
17	2
18	3
19	3
20	2
21	1
22	1
23	3
24	3
25	4
26	3
27	3
28	1
29	2
30	3
31	4
32	5
33	5
34	4
35	3
36	2
37	2
38	4
39	5
40	6
41	6
42	6
43	5
44	4
45	2
46	2
47	4
48	6
49	7
50	7
51	7
52	7
53	6
54	4
55	2
56	2
57	5
58	6
59	8
60	8
61	9
62	8
63	8
64	6
65	5
66	2
67	3
68	5
69	7
70	9
71	10
72	10
73	10
74	10
75	9
76	7
77	5
78	3
79	3
80	6
81	8
82	10
83	11
84	12
85	12
86	12
87	11
88	10
89	8
90	6
91	3
92	3
93	6
94	9
95	11
96	12
97	13
98	14

n	a(n)
1	0
2	0
3	0
4	0
5	1
6	0
7	1
8	1
9	1
10	1
11	1
12	2
13	2
14	2
15	1
16	1
17	2
18	3
19	3
20	2
21	1
22	1
23	3
24	3
25	4
26	3
27	3
28	1
29	2
30	3
31	4
32	5
33	5
34	4
35	3
36	2
37	2
38	4
39	5
40	6
41	6
42	6
43	5
44	4
45	2
46	2
47	4
48	6
49	7
50	7
51	7
52	7
53	6
54	4
55	2
56	2
57	5
58	6
59	8
60	8
61	9
62	8
63	8
64	6
65	5
66	2
67	3
68	5
69	7
70	9
71	10
72	10
73	10
74	10
75	9
76	7
77	5
78	3
79	3
80	6
81	8
82	10
83	11
84	12
85	12
86	12
87	11
88	10
89	8
90	6
91	3
92	3
93	6
94	9
95	11
96	12
97	13
98	14

n	a(n)
1	0
2	0
3	0
4	0
5	1
6	0
7	1
8	1
9	1
10	1
11	1
12	2
13	2
14	2
15	1
16	1
17	2
18	3
19	3
20	2
21	1
22	1
23	3
24	3
25	4
26	3
27	3
28	1
29	2
30	3
31	4
32	5
33	5
34	4
35	3
36	2
37	2
38	4
39	5
40	6
41	6
42	6
43	5
44	4
45	2
46	2
47	4
48	6
49	7
50	7
51	7
52	7
53	6
54	4
55	2
56	2
57	5
58	6
59	8
60	8
61	9
62	8
63	8
64	6
65	5
66	2
67	3
68	5
69	7
70	9
71	10
72	10
73	10
74	10
75	9
76	7
77	5
78	3
79	3
80	6
81	8
82	10
83	11
84	12
85	12
86	12
87	11
88	10
89	8
90	6
91	3
92	3
93	6
94	9
95	11
96	12
97	13
98	14