A193815 - cp's OEIS frontend

A193815 Triangular array: the fusion of polynomial sequences P and Q given by p(n,x) = x^n + x^(n-1) + ... + x+1 and q(n,x)=(x+1)^n.

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	2
6	1
7	4
8	6
9	3
10	1
11	5
12	10
13	10
14	4
15	1
16	6
17	15
18	20
19	15
20	5
21	1
22	7
23	21
24	35
25	35
26	21
27	6
28	1
29	8
30	28
31	56
32	70
33	56
34	28
35	7
36	1
37	9
38	36
39	84
40	126
41	126
42	84
43	36
44	8
45	1
46	10
47	45
48	120
49	210
50	252
51	210
52	120
53	45
54	9
55	1
56	11
57	55
58	165
59	330
60	462
61	462
62	330
63	165
64	55
65	10
66	1
67	12
68	66
69	220
70	495

[1, 1, 1, 1, 3, 2, 1, 4, 6, 3, 1, 5, 10, 10, 4, 1, 6, 15, 20, 15, 5, 1, 7, 21, 35, 35, 21, 6, 1, 8, 28, 56, 70, 56, 28, 7, 1, 9, 36, 84, 126, 126, 84, 36, 8, 1, 10, 45, 120, 210, 252, 210, 120, 45, 9, 1, 11, 55, 165, 330, 462, 462, 330, 165, 55, 10, 1, 12, 66, 220, 495]

cp's OEIS Frontend

A193815 Triangular array: the fusion of polynomial sequences P and Q given by p(n,x) = x^n + x^(n-1) + ... + x+1 and q(n,x)=(x+1)^n.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	2
6	1
7	4
8	6
9	3
10	1
11	5
12	10
13	10
14	4
15	1
16	6
17	15
18	20
19	15
20	5
21	1
22	7
23	21
24	35
25	35
26	21
27	6
28	1
29	8
30	28
31	56
32	70
33	56
34	28
35	7
36	1
37	9
38	36
39	84
40	126
41	126
42	84
43	36
44	8
45	1
46	10
47	45
48	120
49	210
50	252
51	210
52	120
53	45
54	9
55	1
56	11
57	55
58	165
59	330
60	462
61	462
62	330
63	165
64	55
65	10
66	1
67	12
68	66
69	220
70	495

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	2
6	1
7	4
8	6
9	3
10	1
11	5
12	10
13	10
14	4
15	1
16	6
17	15
18	20
19	15
20	5
21	1
22	7
23	21
24	35
25	35
26	21
27	6
28	1
29	8
30	28
31	56
32	70
33	56
34	28
35	7
36	1
37	9
38	36
39	84
40	126
41	126
42	84
43	36
44	8
45	1
46	10
47	45
48	120
49	210
50	252
51	210
52	120
53	45
54	9
55	1
56	11
57	55
58	165
59	330
60	462
61	462
62	330
63	165
64	55
65	10
66	1
67	12
68	66
69	220
70	495

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	2
6	1
7	4
8	6
9	3
10	1
11	5
12	10
13	10
14	4
15	1
16	6
17	15
18	20
19	15
20	5
21	1
22	7
23	21
24	35
25	35
26	21
27	6
28	1
29	8
30	28
31	56
32	70
33	56
34	28
35	7
36	1
37	9
38	36
39	84
40	126
41	126
42	84
43	36
44	8
45	1
46	10
47	45
48	120
49	210
50	252
51	210
52	120
53	45
54	9
55	1
56	11
57	55
58	165
59	330
60	462
61	462
62	330
63	165
64	55
65	10
66	1
67	12
68	66
69	220
70	495