A167763 - cp's OEIS frontend

A167763 Pendular triangle (p=0), read by rows, where row n is formed from row n-1 by the recurrence: if n > 2k, T(n,k) = T(n,n-k) + T(n-1,k), otherwise T(n,k) = T(n,n-1-k) + p*T(n-1,k), for n >= k <= 0, with T(n,0) = 1 and T(n,n) = 0^n.

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	3
13	1
14	0
15	1
16	4
17	7
18	4
19	1
20	0
21	1
22	5
23	12
24	12
25	5
26	1
27	0
28	1
29	6
30	18
31	30
32	18
33	6
34	1
35	0
36	1
37	7
38	25
39	55
40	55
41	25
42	7
43	1
44	0
45	1
46	8
47	33
48	88
49	143
50	88
51	33
52	8
53	1
54	0
55	1
56	9
57	42
58	130
59	273
60	273
61	130
62	42
63	9
64	1
65	0
66	1
67	10
68	52
69	182
70	455
71	728
72	455
73	182
74	52
75	10
76	1
77	0

[1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 3, 3, 1, 0, 1, 4, 7, 4, 1, 0, 1, 5, 12, 12, 5, 1, 0, 1, 6, 18, 30, 18, 6, 1, 0, 1, 7, 25, 55, 55, 25, 7, 1, 0, 1, 8, 33, 88, 143, 88, 33, 8, 1, 0, 1, 9, 42, 130, 273, 273, 130, 42, 9, 1, 0, 1, 10, 52, 182, 455, 728, 455, 182, 52, 10, 1, 0]

cp's OEIS Frontend

A167763 Pendular triangle (p=0), read by rows, where row n is formed from row n-1 by the recurrence: if n > 2k, T(n,k) = T(n,n-k) + T(n-1,k), otherwise T(n,k) = T(n,n-1-k) + p*T(n-1,k), for n >= k <= 0, with T(n,0) = 1 and T(n,n) = 0^n.

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	3
13	1
14	0
15	1
16	4
17	7
18	4
19	1
20	0
21	1
22	5
23	12
24	12
25	5
26	1
27	0
28	1
29	6
30	18
31	30
32	18
33	6
34	1
35	0
36	1
37	7
38	25
39	55
40	55
41	25
42	7
43	1
44	0
45	1
46	8
47	33
48	88
49	143
50	88
51	33
52	8
53	1
54	0
55	1
56	9
57	42
58	130
59	273
60	273
61	130
62	42
63	9
64	1
65	0
66	1
67	10
68	52
69	182
70	455
71	728
72	455
73	182
74	52
75	10
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	3
13	1
14	0
15	1
16	4
17	7
18	4
19	1
20	0
21	1
22	5
23	12
24	12
25	5
26	1
27	0
28	1
29	6
30	18
31	30
32	18
33	6
34	1
35	0
36	1
37	7
38	25
39	55
40	55
41	25
42	7
43	1
44	0
45	1
46	8
47	33
48	88
49	143
50	88
51	33
52	8
53	1
54	0
55	1
56	9
57	42
58	130
59	273
60	273
61	130
62	42
63	9
64	1
65	0
66	1
67	10
68	52
69	182
70	455
71	728
72	455
73	182
74	52
75	10
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	3
13	1
14	0
15	1
16	4
17	7
18	4
19	1
20	0
21	1
22	5
23	12
24	12
25	5
26	1
27	0
28	1
29	6
30	18
31	30
32	18
33	6
34	1
35	0
36	1
37	7
38	25
39	55
40	55
41	25
42	7
43	1
44	0
45	1
46	8
47	33
48	88
49	143
50	88
51	33
52	8
53	1
54	0
55	1
56	9
57	42
58	130
59	273
60	273
61	130
62	42
63	9
64	1
65	0
66	1
67	10
68	52
69	182
70	455
71	728
72	455
73	182
74	52
75	10
76	1
77	0