A362370 - cp's OEIS frontend

A362370 Triangle read by rows. T(n, k) = ([x^k] P(n, x)) // k! where P(n, x) = Sum_{k=1..n} P(n - k, x) * x if n >= 1 and P(0, x) = 1. The notation 's // t' means integer division and is a shortcut for 'floor(s/t)'.

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

[1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 3, 2, 0, 0, 0, 0, 0, 1, 3, 3, 1, 0, 0, 0, 0, 0, 1, 4, 4, 2, 0, 0, 0, 0, 0, 0, 1, 4, 6, 3, 1, 0, 0, 0, 0, 0, 0, 1, 5, 7, 5, 1, 0, 0, 0, 0, 0, 0, 0, 1, 5, 9, 6, 2, 0, 0, 0, 0, 0, 0, 0]

cp's OEIS Frontend

A362370 Triangle read by rows. T(n, k) = ([x^k] P(n, x)) // k! where P(n, x) = Sum_{k=1..n} P(n - k, x) * x if n >= 1 and P(0, x) = 1. The notation 's // t' means integer division and is a shortcut for 'floor(s/t)'.

Table of values

List of values

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

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

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