A171412 - cp's OEIS frontend

A171412 Triangle read by rows (n >= 1): T(n,k) = [x^k] p(x,n), where p(x,n) = (x^3 + x^2 + x + 1)^floor(n/2) if n is odd, and p(x,n) = (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	1
9	2
10	2
11	2
12	1
13	1
14	2
15	3
16	4
17	3
18	2
19	1
20	1
21	3
22	5
23	7
24	7
25	5
26	3
27	1
28	1
29	3
30	6
31	10
32	12
33	12
34	10
35	6
36	3
37	1
38	1
39	4
40	9
41	16
42	22
43	24
44	22
45	16
46	9
47	4
48	1
49	1
50	4
51	10
52	20
53	31
54	40
55	44
56	40
57	31
58	20
59	10
60	4
61	1
62	1
63	5
64	14
65	30
66	51
67	71
68	84
69	84
70	71
71	51
72	30
73	14
74	5
75	1
76	1
77	5
78	15
79	35
80	65
81	101
82	135
83	155
84	155
85	135
86	101
87	65
88	35
89	15
90	5
91	1

[1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 4, 3, 2, 1, 1, 3, 5, 7, 7, 5, 3, 1, 1, 3, 6, 10, 12, 12, 10, 6, 3, 1, 1, 4, 9, 16, 22, 24, 22, 16, 9, 4, 1, 1, 4, 10, 20, 31, 40, 44, 40, 31, 20, 10, 4, 1, 1, 5, 14, 30, 51, 71, 84, 84, 71, 51, 30, 14, 5, 1, 1, 5, 15, 35, 65, 101, 135, 155, 155, 135, 101, 65, 35, 15, 5, 1]

cp's OEIS Frontend

A171412 Triangle read by rows (n >= 1): T(n,k) = [x^k] p(x,n), where p(x,n) = (x^3 + x^2 + x + 1)^floor(n/2) if n is odd, and p(x,n) = (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	1
9	2
10	2
11	2
12	1
13	1
14	2
15	3
16	4
17	3
18	2
19	1
20	1
21	3
22	5
23	7
24	7
25	5
26	3
27	1
28	1
29	3
30	6
31	10
32	12
33	12
34	10
35	6
36	3
37	1
38	1
39	4
40	9
41	16
42	22
43	24
44	22
45	16
46	9
47	4
48	1
49	1
50	4
51	10
52	20
53	31
54	40
55	44
56	40
57	31
58	20
59	10
60	4
61	1
62	1
63	5
64	14
65	30
66	51
67	71
68	84
69	84
70	71
71	51
72	30
73	14
74	5
75	1
76	1
77	5
78	15
79	35
80	65
81	101
82	135
83	155
84	155
85	135
86	101
87	65
88	35
89	15
90	5
91	1

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	2
10	2
11	2
12	1
13	1
14	2
15	3
16	4
17	3
18	2
19	1
20	1
21	3
22	5
23	7
24	7
25	5
26	3
27	1
28	1
29	3
30	6
31	10
32	12
33	12
34	10
35	6
36	3
37	1
38	1
39	4
40	9
41	16
42	22
43	24
44	22
45	16
46	9
47	4
48	1
49	1
50	4
51	10
52	20
53	31
54	40
55	44
56	40
57	31
58	20
59	10
60	4
61	1
62	1
63	5
64	14
65	30
66	51
67	71
68	84
69	84
70	71
71	51
72	30
73	14
74	5
75	1
76	1
77	5
78	15
79	35
80	65
81	101
82	135
83	155
84	155
85	135
86	101
87	65
88	35
89	15
90	5
91	1

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	2
10	2
11	2
12	1
13	1
14	2
15	3
16	4
17	3
18	2
19	1
20	1
21	3
22	5
23	7
24	7
25	5
26	3
27	1
28	1
29	3
30	6
31	10
32	12
33	12
34	10
35	6
36	3
37	1
38	1
39	4
40	9
41	16
42	22
43	24
44	22
45	16
46	9
47	4
48	1
49	1
50	4
51	10
52	20
53	31
54	40
55	44
56	40
57	31
58	20
59	10
60	4
61	1
62	1
63	5
64	14
65	30
66	51
67	71
68	84
69	84
70	71
71	51
72	30
73	14
74	5
75	1
76	1
77	5
78	15
79	35
80	65
81	101
82	135
83	155
84	155
85	135
86	101
87	65
88	35
89	15
90	5
91	1