A323324 - cp's OEIS frontend

A323324 Coefficients T(n,k) of x^ny^(n-k)z^k in function A = A(x,y,z) such that A = 1 + xBC, B = 1 + yCA, and C = 1 + zAB, as a triangle read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	8
5	1
6	1
7	27
8	27
9	1
10	1
11	64
12	200
13	64
14	1
15	1
16	125
17	875
18	875
19	125
20	1
21	1
22	216
23	2835
24	6272
25	2835
26	216
27	1
28	1
29	343
30	7546
31	30870
32	30870
33	7546
34	343
35	1
36	1
37	512
38	17472
39	118272
40	217800
41	118272
42	17472
43	512
44	1
45	1
46	729
47	36450
48	378378
49	1146717
50	1146717
51	378378
52	36450
53	729
54	1
55	1
56	1000
57	70125
58	1056000
59	4879875
60	8016008
61	4879875
62	1056000
63	70125
64	1000
65	1
66	1
67	1331
68	126445
69	2647359
70	17649060
71	44088044
72	44088044
73	17649060
74	2647359
75	126445
76	1331
77	1
78	1
79	1728
80	216216
81	6086080
82	56119635
83	201636864
84	306330752
85	201636864
86	56119635
87	6086080
88	216216
89	1728
90	1

[1, 1, 1, 1, 8, 1, 1, 27, 27, 1, 1, 64, 200, 64, 1, 1, 125, 875, 875, 125, 1, 1, 216, 2835, 6272, 2835, 216, 1, 1, 343, 7546, 30870, 30870, 7546, 343, 1, 1, 512, 17472, 118272, 217800, 118272, 17472, 512, 1, 1, 729, 36450, 378378, 1146717, 1146717, 378378, 36450, 729, 1, 1, 1000, 70125, 1056000, 4879875, 8016008, 4879875, 1056000, 70125, 1000, 1, 1, 1331, 126445, 2647359, 17649060, 44088044, 44088044, 17649060, 2647359, 126445, 1331, 1, 1, 1728, 216216, 6086080, 56119635, 201636864, 306330752, 201636864, 56119635, 6086080, 216216, 1728, 1]

cp's OEIS Frontend

A323324 Coefficients T(n,k) of x^ny^(n-k)z^k in function A = A(x,y,z) such that A = 1 + xBC, B = 1 + yCA, and C = 1 + zAB, as a triangle read by rows.

Table of values

List of values

cp's OEIS Frontend

A323324 Coefficients T(n,k) of x^n*y^(n-k)*z^k in function A = A(x,y,z) such that A = 1 + x*B*C, B = 1 + y*C*A, and C = 1 + z*A*B, as a triangle read by rows.

Table of values

List of values

A323324 Coefficients T(n,k) of x^ny^(n-k)z^k in function A = A(x,y,z) such that A = 1 + xBC, B = 1 + yCA, and C = 1 + zAB, as a triangle read by rows.