A139584 - cp's OEIS frontend

A139584 A triangle of coefficients of A053122 type binomials {x,y},{y,z} and {z,x}, made using A_n Cartan type matrix characteristic polynomials: an(x,n) = CharacteristicPolynomial(M(A_n,n)); f(x,y,n) = Sum[Coefficients(an[x,n)x^iy^(n-i),{i,0,n}]; p(x,y,z,n) = f(x,y,n) + f(y,z,n) + f(z,x,n).

n	a(n)
1	3
2	5
3	-2
4	6
5	-8
6	2
7	7
8	-20
9	12
10	-2
11	9
12	-40
13	42
14	-16
15	2
16	12
17	-70
18	112
19	-72
20	20
21	-2
22	15
23	-112
24	252
25	-240
26	110
27	-24
28	2
29	17
30	-168
31	504
32	-660
33	440
34	-156
35	28
36	-2
37	18
38	-240
39	924
40	-1584
41	1430
42	-728
43	210
44	-32
45	2
46	19
47	-330
48	1584
49	-3432
50	4004
51	-2730
52	1120
53	-272
54	36
55	-2
56	21
57	-440
58	2574
59	-6864
60	10010
61	-8736
62	4760
63	-1632
64	342

[3, 5, -2, 6, -8, 2, 7, -20, 12, -2, 9, -40, 42, -16, 2, 12, -70, 112, -72, 20, -2, 15, -112, 252, -240, 110, -24, 2, 17, -168, 504, -660, 440, -156, 28, -2, 18, -240, 924, -1584, 1430, -728, 210, -32, 2, 19, -330, 1584, -3432, 4004, -2730, 1120, -272, 36, -2, 21, -440, 2574, -6864, 10010, -8736, 4760, -1632, 342]

cp's OEIS Frontend

A139584 A triangle of coefficients of A053122 type binomials {x,y},{y,z} and {z,x}, made using A_n Cartan type matrix characteristic polynomials: an(x,n) = CharacteristicPolynomial(M(A_n,n)); f(x,y,n) = Sum[Coefficients(an[x,n)x^iy^(n-i),{i,0,n}]; p(x,y,z,n) = f(x,y,n) + f(y,z,n) + f(z,x,n).

Table of values

List of values

cp's OEIS Frontend

A139584 A triangle of coefficients of A053122 type binomials {x,y},{y,z} and {z,x}, made using A_n Cartan type matrix characteristic polynomials: an(x,n) = CharacteristicPolynomial(M(A_n,n)); f(x,y,n) = Sum[Coefficients(an[x,n)*x^i*y^(n-i),{i,0,n}]; p(x,y,z,n) = f(x,y,n) + f(y,z,n) + f(z,x,n).

Table of values

List of values

A139584 A triangle of coefficients of A053122 type binomials {x,y},{y,z} and {z,x}, made using A_n Cartan type matrix characteristic polynomials: an(x,n) = CharacteristicPolynomial(M(A_n,n)); f(x,y,n) = Sum[Coefficients(an[x,n)x^iy^(n-i),{i,0,n}]; p(x,y,z,n) = f(x,y,n) + f(y,z,n) + f(z,x,n).