A051933 - cp's OEIS frontend

A051933 Triangle T(n,m) = Nim-sum (or XOR) of n and m, read by rows, 0<=m<=n.

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

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

cp's OEIS Frontend

A051933 Triangle T(n,m) = Nim-sum (or XOR) of n and m, read by rows, 0<=m<=n.

Table of values

List of values

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

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

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