A171414 - cp's OEIS frontend

A171414 Triangle read by rows (n >= 1): T(n,k) = [x^k] p(x,n), where p(x,n) = ((x^n - 1)/(x - 1))^floor(n/2) if n is odd, and p(x,n) = ((x^n - 1)/(x - 1))*p(x,n-1) otherwise.

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	3
10	3
11	2
12	1
13	1
14	2
15	3
16	4
17	5
18	4
19	3
20	2
21	1
22	1
23	3
24	6
25	10
26	15
27	19
28	21
29	21
30	19
31	15
32	10
33	6
34	3
35	1
36	1
37	3
38	6
39	10
40	15
41	21
42	28
43	33
44	36
45	37
46	36
47	33
48	28
49	21
50	15
51	10
52	6
53	3
54	1
55	1
56	4
57	10
58	20
59	35
60	56
61	84
62	117
63	152
64	186
65	216
66	239
67	252
68	252
69	239
70	216
71	186
72	152
73	117
74	84
75	56
76	35
77	20
78	10
79	4
80	1

[1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 1, 1, 2, 3, 4, 5, 4, 3, 2, 1, 1, 3, 6, 10, 15, 19, 21, 21, 19, 15, 10, 6, 3, 1, 1, 3, 6, 10, 15, 21, 28, 33, 36, 37, 36, 33, 28, 21, 15, 10, 6, 3, 1, 1, 4, 10, 20, 35, 56, 84, 117, 152, 186, 216, 239, 252, 252, 239, 216, 186, 152, 117, 84, 56, 35, 20, 10, 4, 1]

cp's OEIS Frontend

A171414 Triangle read by rows (n >= 1): T(n,k) = [x^k] p(x,n), where p(x,n) = ((x^n - 1)/(x - 1))^floor(n/2) if n is odd, and p(x,n) = ((x^n - 1)/(x - 1))*p(x,n-1) otherwise.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	3
10	3
11	2
12	1
13	1
14	2
15	3
16	4
17	5
18	4
19	3
20	2
21	1
22	1
23	3
24	6
25	10
26	15
27	19
28	21
29	21
30	19
31	15
32	10
33	6
34	3
35	1
36	1
37	3
38	6
39	10
40	15
41	21
42	28
43	33
44	36
45	37
46	36
47	33
48	28
49	21
50	15
51	10
52	6
53	3
54	1
55	1
56	4
57	10
58	20
59	35
60	56
61	84
62	117
63	152
64	186
65	216
66	239
67	252
68	252
69	239
70	216
71	186
72	152
73	117
74	84
75	56
76	35
77	20
78	10
79	4
80	1

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	3
10	3
11	2
12	1
13	1
14	2
15	3
16	4
17	5
18	4
19	3
20	2
21	1
22	1
23	3
24	6
25	10
26	15
27	19
28	21
29	21
30	19
31	15
32	10
33	6
34	3
35	1
36	1
37	3
38	6
39	10
40	15
41	21
42	28
43	33
44	36
45	37
46	36
47	33
48	28
49	21
50	15
51	10
52	6
53	3
54	1
55	1
56	4
57	10
58	20
59	35
60	56
61	84
62	117
63	152
64	186
65	216
66	239
67	252
68	252
69	239
70	216
71	186
72	152
73	117
74	84
75	56
76	35
77	20
78	10
79	4
80	1

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	3
10	3
11	2
12	1
13	1
14	2
15	3
16	4
17	5
18	4
19	3
20	2
21	1
22	1
23	3
24	6
25	10
26	15
27	19
28	21
29	21
30	19
31	15
32	10
33	6
34	3
35	1
36	1
37	3
38	6
39	10
40	15
41	21
42	28
43	33
44	36
45	37
46	36
47	33
48	28
49	21
50	15
51	10
52	6
53	3
54	1
55	1
56	4
57	10
58	20
59	35
60	56
61	84
62	117
63	152
64	186
65	216
66	239
67	252
68	252
69	239
70	216
71	186
72	152
73	117
74	84
75	56
76	35
77	20
78	10
79	4
80	1