A259095 - cp's OEIS frontend

A259095 Triangle read by rows: T(n,r) = number of arrangements of n pennies in rows, with r contiguous pennies in the bottom row, and each higher row consisting of contiguous pennies, each touching two pennies in the row below (1 <= r <= n).

n	a(n)
1	1
2	0
3	1
4	0
5	1
6	1
7	0
8	0
9	2
10	1
11	0
12	0
13	1
14	3
15	1
16	0
17	0
18	1
19	2
20	4
21	1
22	0
23	0
24	0
25	3
26	3
27	5
28	1
29	0
30	0
31	0
32	2
33	5
34	4
35	6
36	1
37	0
38	0
39	0
40	1
41	5
42	7
43	5
44	7
45	1
46	0
47	0
48	0
49	1
50	5
51	8
52	9
53	6
54	8
55	1
56	0
57	0
58	0
59	0
60	4
61	10
62	11
63	11
64	7
65	9
66	1
67	0
68	0
69	0
70	0
71	3
72	11
73	15
74	14
75	13
76	8
77	10
78	1
79	0
80	0
81	0
82	0
83	2
84	9
85	19
86	20
87	17
88	15
89	9
90	11
91	1
92	0
93	0
94	0
95	0
96	1
97	9
98	20
99	27
100	25
101	20
102	17
103	10
104	12
105	1
106	0
107	0
108	0
109	0
110	1
111	7
112	20
113	32
114	35
115	30
116	23
117	19
118	11
119	13
120	1

[1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 3, 1, 0, 0, 1, 2, 4, 1, 0, 0, 0, 3, 3, 5, 1, 0, 0, 0, 2, 5, 4, 6, 1, 0, 0, 0, 1, 5, 7, 5, 7, 1, 0, 0, 0, 1, 5, 8, 9, 6, 8, 1, 0, 0, 0, 0, 4, 10, 11, 11, 7, 9, 1, 0, 0, 0, 0, 3, 11, 15, 14, 13, 8, 10, 1, 0, 0, 0, 0, 2, 9, 19, 20, 17, 15, 9, 11, 1, 0, 0, 0, 0, 1, 9, 20, 27, 25, 20, 17, 10, 12, 1, 0, 0, 0, 0, 1, 7, 20, 32, 35, 30, 23, 19, 11, 13, 1]

cp's OEIS Frontend

A259095 Triangle read by rows: T(n,r) = number of arrangements of n pennies in rows, with r contiguous pennies in the bottom row, and each higher row consisting of contiguous pennies, each touching two pennies in the row below (1 <= r <= n).

Table of values

List of values

n	a(n)
1	1
2	0
3	1
4	0
5	1
6	1
7	0
8	0
9	2
10	1
11	0
12	0
13	1
14	3
15	1
16	0
17	0
18	1
19	2
20	4
21	1
22	0
23	0
24	0
25	3
26	3
27	5
28	1
29	0
30	0
31	0
32	2
33	5
34	4
35	6
36	1
37	0
38	0
39	0
40	1
41	5
42	7
43	5
44	7
45	1
46	0
47	0
48	0
49	1
50	5
51	8
52	9
53	6
54	8
55	1
56	0
57	0
58	0
59	0
60	4
61	10
62	11
63	11
64	7
65	9
66	1
67	0
68	0
69	0
70	0
71	3
72	11
73	15
74	14
75	13
76	8
77	10
78	1
79	0
80	0
81	0
82	0
83	2
84	9
85	19
86	20
87	17
88	15
89	9
90	11
91	1
92	0
93	0
94	0
95	0
96	1
97	9
98	20
99	27
100	25
101	20
102	17
103	10
104	12
105	1
106	0
107	0
108	0
109	0
110	1
111	7
112	20
113	32
114	35
115	30
116	23
117	19
118	11
119	13
120	1

n	a(n)
1	1
2	0
3	1
4	0
5	1
6	1
7	0
8	0
9	2
10	1
11	0
12	0
13	1
14	3
15	1
16	0
17	0
18	1
19	2
20	4
21	1
22	0
23	0
24	0
25	3
26	3
27	5
28	1
29	0
30	0
31	0
32	2
33	5
34	4
35	6
36	1
37	0
38	0
39	0
40	1
41	5
42	7
43	5
44	7
45	1
46	0
47	0
48	0
49	1
50	5
51	8
52	9
53	6
54	8
55	1
56	0
57	0
58	0
59	0
60	4
61	10
62	11
63	11
64	7
65	9
66	1
67	0
68	0
69	0
70	0
71	3
72	11
73	15
74	14
75	13
76	8
77	10
78	1
79	0
80	0
81	0
82	0
83	2
84	9
85	19
86	20
87	17
88	15
89	9
90	11
91	1
92	0
93	0
94	0
95	0
96	1
97	9
98	20
99	27
100	25
101	20
102	17
103	10
104	12
105	1
106	0
107	0
108	0
109	0
110	1
111	7
112	20
113	32
114	35
115	30
116	23
117	19
118	11
119	13
120	1

n	a(n)
1	1
2	0
3	1
4	0
5	1
6	1
7	0
8	0
9	2
10	1
11	0
12	0
13	1
14	3
15	1
16	0
17	0
18	1
19	2
20	4
21	1
22	0
23	0
24	0
25	3
26	3
27	5
28	1
29	0
30	0
31	0
32	2
33	5
34	4
35	6
36	1
37	0
38	0
39	0
40	1
41	5
42	7
43	5
44	7
45	1
46	0
47	0
48	0
49	1
50	5
51	8
52	9
53	6
54	8
55	1
56	0
57	0
58	0
59	0
60	4
61	10
62	11
63	11
64	7
65	9
66	1
67	0
68	0
69	0
70	0
71	3
72	11
73	15
74	14
75	13
76	8
77	10
78	1
79	0
80	0
81	0
82	0
83	2
84	9
85	19
86	20
87	17
88	15
89	9
90	11
91	1
92	0
93	0
94	0
95	0
96	1
97	9
98	20
99	27
100	25
101	20
102	17
103	10
104	12
105	1
106	0
107	0
108	0
109	0
110	1
111	7
112	20
113	32
114	35
115	30
116	23
117	19
118	11
119	13
120	1