A285117 - cp's OEIS frontend

A285117 Triangle read by rows: T(0,n) = T(n,n) = 1; and for n > 0, 0 < k < n, T(n,k) = C(n-1,k-1) XOR C(n-1,k), where C(n,k) is binomial coefficient (A007318) and XOR is bitwise-XOR (A003987).

n	a(n)
0	1
1	1
2	1
3	1
4	0
5	1
6	1
7	3
8	3
9	1
10	1
11	2
12	0
13	2
14	1
15	1
16	5
17	2
18	2
19	5
20	1
21	1
22	4
23	15
24	0
25	15
26	4
27	1
28	1
29	7
30	9
31	27
32	27
33	9
34	7
35	1
36	1
37	6
38	18
39	54
40	0
41	54
42	18
43	6
44	1
45	1
46	9
47	20
48	36
49	126
50	126
51	36
52	20
53	9
54	1
55	1
56	8
57	45
58	112
59	42
60	0
61	42
62	112
63	45
64	8
65	1
66	1
67	11
68	39
69	85
70	170
71	46
72	46
73	170
74	85
75	39
76	11
77	1
78	1
79	10
80	60
81	146
82	495
83	132
84	0
85	132
86	495
87	146
88	60
89	10
90	1

[1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 2, 0, 2, 1, 1, 5, 2, 2, 5, 1, 1, 4, 15, 0, 15, 4, 1, 1, 7, 9, 27, 27, 9, 7, 1, 1, 6, 18, 54, 0, 54, 18, 6, 1, 1, 9, 20, 36, 126, 126, 36, 20, 9, 1, 1, 8, 45, 112, 42, 0, 42, 112, 45, 8, 1, 1, 11, 39, 85, 170, 46, 46, 170, 85, 39, 11, 1, 1, 10, 60, 146, 495, 132, 0, 132, 495, 146, 60, 10, 1]

cp's OEIS Frontend

A285117 Triangle read by rows: T(0,n) = T(n,n) = 1; and for n > 0, 0 < k < n, T(n,k) = C(n-1,k-1) XOR C(n-1,k), where C(n,k) is binomial coefficient (A007318) and XOR is bitwise-XOR (A003987).

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	0
5	1
6	1
7	3
8	3
9	1
10	1
11	2
12	0
13	2
14	1
15	1
16	5
17	2
18	2
19	5
20	1
21	1
22	4
23	15
24	0
25	15
26	4
27	1
28	1
29	7
30	9
31	27
32	27
33	9
34	7
35	1
36	1
37	6
38	18
39	54
40	0
41	54
42	18
43	6
44	1
45	1
46	9
47	20
48	36
49	126
50	126
51	36
52	20
53	9
54	1
55	1
56	8
57	45
58	112
59	42
60	0
61	42
62	112
63	45
64	8
65	1
66	1
67	11
68	39
69	85
70	170
71	46
72	46
73	170
74	85
75	39
76	11
77	1
78	1
79	10
80	60
81	146
82	495
83	132
84	0
85	132
86	495
87	146
88	60
89	10
90	1

n	a(n)
0	1
1	1
2	1
3	1
4	0
5	1
6	1
7	3
8	3
9	1
10	1
11	2
12	0
13	2
14	1
15	1
16	5
17	2
18	2
19	5
20	1
21	1
22	4
23	15
24	0
25	15
26	4
27	1
28	1
29	7
30	9
31	27
32	27
33	9
34	7
35	1
36	1
37	6
38	18
39	54
40	0
41	54
42	18
43	6
44	1
45	1
46	9
47	20
48	36
49	126
50	126
51	36
52	20
53	9
54	1
55	1
56	8
57	45
58	112
59	42
60	0
61	42
62	112
63	45
64	8
65	1
66	1
67	11
68	39
69	85
70	170
71	46
72	46
73	170
74	85
75	39
76	11
77	1
78	1
79	10
80	60
81	146
82	495
83	132
84	0
85	132
86	495
87	146
88	60
89	10
90	1

n	a(n)
0	1
1	1
2	1
3	1
4	0
5	1
6	1
7	3
8	3
9	1
10	1
11	2
12	0
13	2
14	1
15	1
16	5
17	2
18	2
19	5
20	1
21	1
22	4
23	15
24	0
25	15
26	4
27	1
28	1
29	7
30	9
31	27
32	27
33	9
34	7
35	1
36	1
37	6
38	18
39	54
40	0
41	54
42	18
43	6
44	1
45	1
46	9
47	20
48	36
49	126
50	126
51	36
52	20
53	9
54	1
55	1
56	8
57	45
58	112
59	42
60	0
61	42
62	112
63	45
64	8
65	1
66	1
67	11
68	39
69	85
70	170
71	46
72	46
73	170
74	85
75	39
76	11
77	1
78	1
79	10
80	60
81	146
82	495
83	132
84	0
85	132
86	495
87	146
88	60
89	10
90	1