A047998 - cp's OEIS frontend

A047998 Triangle of numbers a(n,k) = number of "fountains" with n coins, k in the bottom row.

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	0
7	0
8	1
9	1
10	0
11	0
12	0
13	2
14	1
15	0
16	0
17	0
18	1
19	3
20	1
21	0
22	0
23	0
24	1
25	3
26	4
27	1
28	0
29	0
30	0
31	0
32	3
33	6
34	5
35	1
36	0
37	0
38	0
39	0
40	2
41	7
42	10
43	6
44	1
45	0
46	0
47	0
48	0
49	1
50	7
51	14
52	15
53	7
54	1
55	0
56	0
57	0
58	0
59	1
60	5
61	17
62	25
63	21
64	8
65	1
66	0
67	0
68	0
69	0
70	0
71	5
72	16
73	35
74	41
75	28
76	9
77	1
78	0
79	0
80	0
81	0
82	0
83	3
84	16
85	40
86	65
87	63
88	36
89	10
90	1
91	0
92	0
93	0
94	0
95	0
96	2
97	14
98	43
99	86
100	112
101	92
102	45
103	11
104	1
105	0
106	0
107	0
108	0
109	0
110	1
111	11
112	44
113	102
114	167
115	182
116	129
117	55
118	12
119	1
120	0
121	0
122	0
123	0
124	0
125	1
126	9
127	40
128	115
129	219
130	301
131	282
132	175
133	66
134	13
135	1

[1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 3, 1, 0, 0, 0, 1, 3, 4, 1, 0, 0, 0, 0, 3, 6, 5, 1, 0, 0, 0, 0, 2, 7, 10, 6, 1, 0, 0, 0, 0, 1, 7, 14, 15, 7, 1, 0, 0, 0, 0, 1, 5, 17, 25, 21, 8, 1, 0, 0, 0, 0, 0, 5, 16, 35, 41, 28, 9, 1, 0, 0, 0, 0, 0, 3, 16, 40, 65, 63, 36, 10, 1, 0, 0, 0, 0, 0, 2, 14, 43, 86, 112, 92, 45, 11, 1, 0, 0, 0, 0, 0, 1, 11, 44, 102, 167, 182, 129, 55, 12, 1, 0, 0, 0, 0, 0, 1, 9, 40, 115, 219, 301, 282, 175, 66, 13, 1]

cp's OEIS Frontend

A047998 Triangle of numbers a(n,k) = number of "fountains" with n coins, k in the bottom row.

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	0
7	0
8	1
9	1
10	0
11	0
12	0
13	2
14	1
15	0
16	0
17	0
18	1
19	3
20	1
21	0
22	0
23	0
24	1
25	3
26	4
27	1
28	0
29	0
30	0
31	0
32	3
33	6
34	5
35	1
36	0
37	0
38	0
39	0
40	2
41	7
42	10
43	6
44	1
45	0
46	0
47	0
48	0
49	1
50	7
51	14
52	15
53	7
54	1
55	0
56	0
57	0
58	0
59	1
60	5
61	17
62	25
63	21
64	8
65	1
66	0
67	0
68	0
69	0
70	0
71	5
72	16
73	35
74	41
75	28
76	9
77	1
78	0
79	0
80	0
81	0
82	0
83	3
84	16
85	40
86	65
87	63
88	36
89	10
90	1
91	0
92	0
93	0
94	0
95	0
96	2
97	14
98	43
99	86
100	112
101	92
102	45
103	11
104	1
105	0
106	0
107	0
108	0
109	0
110	1
111	11
112	44
113	102
114	167
115	182
116	129
117	55
118	12
119	1
120	0
121	0
122	0
123	0
124	0
125	1
126	9
127	40
128	115
129	219
130	301
131	282
132	175
133	66
134	13
135	1

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	0
7	0
8	1
9	1
10	0
11	0
12	0
13	2
14	1
15	0
16	0
17	0
18	1
19	3
20	1
21	0
22	0
23	0
24	1
25	3
26	4
27	1
28	0
29	0
30	0
31	0
32	3
33	6
34	5
35	1
36	0
37	0
38	0
39	0
40	2
41	7
42	10
43	6
44	1
45	0
46	0
47	0
48	0
49	1
50	7
51	14
52	15
53	7
54	1
55	0
56	0
57	0
58	0
59	1
60	5
61	17
62	25
63	21
64	8
65	1
66	0
67	0
68	0
69	0
70	0
71	5
72	16
73	35
74	41
75	28
76	9
77	1
78	0
79	0
80	0
81	0
82	0
83	3
84	16
85	40
86	65
87	63
88	36
89	10
90	1
91	0
92	0
93	0
94	0
95	0
96	2
97	14
98	43
99	86
100	112
101	92
102	45
103	11
104	1
105	0
106	0
107	0
108	0
109	0
110	1
111	11
112	44
113	102
114	167
115	182
116	129
117	55
118	12
119	1
120	0
121	0
122	0
123	0
124	0
125	1
126	9
127	40
128	115
129	219
130	301
131	282
132	175
133	66
134	13
135	1

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	0
7	0
8	1
9	1
10	0
11	0
12	0
13	2
14	1
15	0
16	0
17	0
18	1
19	3
20	1
21	0
22	0
23	0
24	1
25	3
26	4
27	1
28	0
29	0
30	0
31	0
32	3
33	6
34	5
35	1
36	0
37	0
38	0
39	0
40	2
41	7
42	10
43	6
44	1
45	0
46	0
47	0
48	0
49	1
50	7
51	14
52	15
53	7
54	1
55	0
56	0
57	0
58	0
59	1
60	5
61	17
62	25
63	21
64	8
65	1
66	0
67	0
68	0
69	0
70	0
71	5
72	16
73	35
74	41
75	28
76	9
77	1
78	0
79	0
80	0
81	0
82	0
83	3
84	16
85	40
86	65
87	63
88	36
89	10
90	1
91	0
92	0
93	0
94	0
95	0
96	2
97	14
98	43
99	86
100	112
101	92
102	45
103	11
104	1
105	0
106	0
107	0
108	0
109	0
110	1
111	11
112	44
113	102
114	167
115	182
116	129
117	55
118	12
119	1
120	0
121	0
122	0
123	0
124	0
125	1
126	9
127	40
128	115
129	219
130	301
131	282
132	175
133	66
134	13
135	1