A373423 - cp's OEIS frontend

A373423 Array read by ascending antidiagonals: T(n, k) = [x^k] cf(n) where cf(0) = 1, cf(1) = -1/(x - 1), and for n > 1 is cf(n) = ~( ~x - 1/(~x - 1/(~x - 1/(~x - 1/(~x - ... 1/(~x + 1))))...) ) where '~' is '-' if n is even, and '+' if n is odd, and x appears n times in the expression.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	0
10	1
11	3
12	1
13	1
14	0
15	1
16	4
17	3
18	1
19	1
20	0
21	1
22	5
23	6
24	5
25	1
26	1
27	0
28	1
29	6
30	10
31	14
32	8
33	1
34	1
35	0
36	1
37	7
38	15
39	30
40	31
41	13
42	1
43	1
44	0
45	1
46	8
47	21
48	55
49	85
50	70
51	21
52	1
53	1
54	0
55	1
56	9
57	28
58	91
59	190
60	246
61	157
62	34
63	1
64	1
65	0
66	1
67	10
68	36
69	140
70	371
71	671
72	707
73	353
74	55
75	1
76	1
77	0

[1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 3, 1, 1, 0, 1, 4, 3, 1, 1, 0, 1, 5, 6, 5, 1, 1, 0, 1, 6, 10, 14, 8, 1, 1, 0, 1, 7, 15, 30, 31, 13, 1, 1, 0, 1, 8, 21, 55, 85, 70, 21, 1, 1, 0, 1, 9, 28, 91, 190, 246, 157, 34, 1, 1, 0, 1, 10, 36, 140, 371, 671, 707, 353, 55, 1, 1, 0]

cp's OEIS Frontend

A373423 Array read by ascending antidiagonals: T(n, k) = [x^k] cf(n) where cf(0) = 1, cf(1) = -1/(x - 1), and for n > 1 is cf(n) = ~( ~x - 1/(~x - 1/(~x - 1/(~x - 1/(~x - ... 1/(~x + 1))))...) ) where '~' is '-' if n is even, and '+' if n is odd, and x appears n times in the expression.

Table of values

List of values

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	0
10	1
11	3
12	1
13	1
14	0
15	1
16	4
17	3
18	1
19	1
20	0
21	1
22	5
23	6
24	5
25	1
26	1
27	0
28	1
29	6
30	10
31	14
32	8
33	1
34	1
35	0
36	1
37	7
38	15
39	30
40	31
41	13
42	1
43	1
44	0
45	1
46	8
47	21
48	55
49	85
50	70
51	21
52	1
53	1
54	0
55	1
56	9
57	28
58	91
59	190
60	246
61	157
62	34
63	1
64	1
65	0
66	1
67	10
68	36
69	140
70	371
71	671
72	707
73	353
74	55
75	1
76	1
77	0

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	0
10	1
11	3
12	1
13	1
14	0
15	1
16	4
17	3
18	1
19	1
20	0
21	1
22	5
23	6
24	5
25	1
26	1
27	0
28	1
29	6
30	10
31	14
32	8
33	1
34	1
35	0
36	1
37	7
38	15
39	30
40	31
41	13
42	1
43	1
44	0
45	1
46	8
47	21
48	55
49	85
50	70
51	21
52	1
53	1
54	0
55	1
56	9
57	28
58	91
59	190
60	246
61	157
62	34
63	1
64	1
65	0
66	1
67	10
68	36
69	140
70	371
71	671
72	707
73	353
74	55
75	1
76	1
77	0

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	0
10	1
11	3
12	1
13	1
14	0
15	1
16	4
17	3
18	1
19	1
20	0
21	1
22	5
23	6
24	5
25	1
26	1
27	0
28	1
29	6
30	10
31	14
32	8
33	1
34	1
35	0
36	1
37	7
38	15
39	30
40	31
41	13
42	1
43	1
44	0
45	1
46	8
47	21
48	55
49	85
50	70
51	21
52	1
53	1
54	0
55	1
56	9
57	28
58	91
59	190
60	246
61	157
62	34
63	1
64	1
65	0
66	1
67	10
68	36
69	140
70	371
71	671
72	707
73	353
74	55
75	1
76	1
77	0