A178471 - cp's OEIS frontend

A178471 Triangle where T(n,k) is the number of compositions of n where no pair of consecutive part sizes is relative prime, starting with a part of size k.

n	a(n)
1	1
2	0
3	1
4	0
5	0
6	1
7	0
8	1
9	0
10	1
11	0
12	0
13	0
14	0
15	1
16	0
17	2
18	1
19	1
20	0
21	1
22	0
23	0
24	0
25	0
26	0
27	0
28	1
29	0
30	4
31	0
32	2
33	0
34	1
35	0
36	1
37	0
38	0
39	2
40	0
41	0
42	1
43	0
44	0
45	1
46	0
47	8
48	0
49	4
50	1
51	2
52	0
53	1
54	0
55	1
56	0
57	1
58	1
59	0
60	0
61	0
62	0
63	0
64	0
65	0
66	1
67	0
68	16
69	4
70	8
71	0
72	5
73	0
74	2
75	1
76	1
77	0
78	1
79	0
80	1
81	2
82	1
83	0
84	0
85	0
86	0
87	0
88	0
89	0
90	0
91	1
92	0
93	33
94	1
95	16
96	0
97	8
98	1
99	4
100	0
101	2
102	0
103	1
104	0

[1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 4, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 8, 0, 4, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 16, 4, 8, 0, 5, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 33, 1, 16, 0, 8, 1, 4, 0, 2, 0, 1, 0]

cp's OEIS Frontend

A178471 Triangle where T(n,k) is the number of compositions of n where no pair of consecutive part sizes is relative prime, starting with a part of size k.

Table of values

List of values

n	a(n)
1	1
2	0
3	1
4	0
5	0
6	1
7	0
8	1
9	0
10	1
11	0
12	0
13	0
14	0
15	1
16	0
17	2
18	1
19	1
20	0
21	1
22	0
23	0
24	0
25	0
26	0
27	0
28	1
29	0
30	4
31	0
32	2
33	0
34	1
35	0
36	1
37	0
38	0
39	2
40	0
41	0
42	1
43	0
44	0
45	1
46	0
47	8
48	0
49	4
50	1
51	2
52	0
53	1
54	0
55	1
56	0
57	1
58	1
59	0
60	0
61	0
62	0
63	0
64	0
65	0
66	1
67	0
68	16
69	4
70	8
71	0
72	5
73	0
74	2
75	1
76	1
77	0
78	1
79	0
80	1
81	2
82	1
83	0
84	0
85	0
86	0
87	0
88	0
89	0
90	0
91	1
92	0
93	33
94	1
95	16
96	0
97	8
98	1
99	4
100	0
101	2
102	0
103	1
104	0

n	a(n)
1	1
2	0
3	1
4	0
5	0
6	1
7	0
8	1
9	0
10	1
11	0
12	0
13	0
14	0
15	1
16	0
17	2
18	1
19	1
20	0
21	1
22	0
23	0
24	0
25	0
26	0
27	0
28	1
29	0
30	4
31	0
32	2
33	0
34	1
35	0
36	1
37	0
38	0
39	2
40	0
41	0
42	1
43	0
44	0
45	1
46	0
47	8
48	0
49	4
50	1
51	2
52	0
53	1
54	0
55	1
56	0
57	1
58	1
59	0
60	0
61	0
62	0
63	0
64	0
65	0
66	1
67	0
68	16
69	4
70	8
71	0
72	5
73	0
74	2
75	1
76	1
77	0
78	1
79	0
80	1
81	2
82	1
83	0
84	0
85	0
86	0
87	0
88	0
89	0
90	0
91	1
92	0
93	33
94	1
95	16
96	0
97	8
98	1
99	4
100	0
101	2
102	0
103	1
104	0

n	a(n)
1	1
2	0
3	1
4	0
5	0
6	1
7	0
8	1
9	0
10	1
11	0
12	0
13	0
14	0
15	1
16	0
17	2
18	1
19	1
20	0
21	1
22	0
23	0
24	0
25	0
26	0
27	0
28	1
29	0
30	4
31	0
32	2
33	0
34	1
35	0
36	1
37	0
38	0
39	2
40	0
41	0
42	1
43	0
44	0
45	1
46	0
47	8
48	0
49	4
50	1
51	2
52	0
53	1
54	0
55	1
56	0
57	1
58	1
59	0
60	0
61	0
62	0
63	0
64	0
65	0
66	1
67	0
68	16
69	4
70	8
71	0
72	5
73	0
74	2
75	1
76	1
77	0
78	1
79	0
80	1
81	2
82	1
83	0
84	0
85	0
86	0
87	0
88	0
89	0
90	0
91	1
92	0
93	33
94	1
95	16
96	0
97	8
98	1
99	4
100	0
101	2
102	0
103	1
104	0