A380971 - cp's OEIS frontend

A380971 Irregular triangle T(n, k), n >= 0, k > 0, read by rows with row polynomials R(n, x) such that R(2n+1, x) = xR(n, x) for n >= 0, R(2n,x) = wt(n)x*((x+1)^wt(n) - x^wt(n)) + Sum_{k=1..wt(n)} kx^kT(n,k) for n > 0 with R(0,x) = 0 where wt(n) = A000120(n).

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

[1, 2, 0, 1, 2, 4, 3, 0, 2, 2, 6, 0, 0, 1, 4, 12, 0, 2, 4, 3, 9, 9, 4, 0, 3, 2, 8, 0, 0, 2, 4, 16, 0, 2, 6, 3, 9, 12, 0, 0, 0, 1, 6, 28, 0, 4, 12, 3, 13, 21, 0, 0, 2, 4, 6, 27, 36, 0, 3, 9, 9, 4, 16, 24, 16, 5, 0, 4, 2, 10, 0, 0, 3, 4, 20, 0, 2, 8, 3, 9, 15, 0]

cp's OEIS Frontend

A380971 Irregular triangle T(n, k), n >= 0, k > 0, read by rows with row polynomials R(n, x) such that R(2n+1, x) = xR(n, x) for n >= 0, R(2n,x) = wt(n)x*((x+1)^wt(n) - x^wt(n)) + Sum_{k=1..wt(n)} kx^kT(n,k) for n > 0 with R(0,x) = 0 where wt(n) = A000120(n).

Table of values

List of values

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

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

cp's OEIS Frontend

A380971 Irregular triangle T(n, k), n >= 0, k > 0, read by rows with row polynomials R(n, x) such that R(2n+1, x) = x*R(n, x) for n >= 0, R(2n,x) = wt(n)*x*((x+1)^wt(n) - x^wt(n)) + Sum_{k=1..wt(n)} k*x^k*T(n,k) for n > 0 with R(0,x) = 0 where wt(n) = A000120(n).

Table of values

List of values

A380971 Irregular triangle T(n, k), n >= 0, k > 0, read by rows with row polynomials R(n, x) such that R(2n+1, x) = xR(n, x) for n >= 0, R(2n,x) = wt(n)x*((x+1)^wt(n) - x^wt(n)) + Sum_{k=1..wt(n)} kx^kT(n,k) for n > 0 with R(0,x) = 0 where wt(n) = A000120(n).

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