A124019 - cp's OEIS frontend

A124019 Triangle read by rows: T(0,0)=1; for n>=1 T(n,k) is the coefficient of x^k in the monic characteristic polynomial of the n X n band matrix with main diagonal 2,3,3,..., subdiagonal -3,-3,-3,..., sub-subdiagonal 1,1,1,... and superdiagonal -1,-1,-1,... (0<=k<=n).

n	a(n)
0	1
1	-2
2	1
3	3
4	-5
5	1
6	-4
7	15
8	-8
9	1
10	5
11	-35
12	36
13	-11
14	1
15	-6
16	70
17	-120
18	66
19	-14
20	1
21	7
22	-126
23	330
24	-286
25	105
26	-17
27	1
28	-8
29	210
30	-792
31	1001
32	-560
33	153
34	-20
35	1
36	9
37	-330
38	1716
39	-3003
40	2380
41	-969
42	210
43	-23
44	1
45	-10
46	495
47	-3432
48	8008
49	-8568
50	4845
51	-1540
52	276
53	-26
54	1
55	11
56	-715
57	6435
58	-19448
59	27132
60	-20349
61	8855
62	-2300
63	351
64	-29
65	1

[1, -2, 1, 3, -5, 1, -4, 15, -8, 1, 5, -35, 36, -11, 1, -6, 70, -120, 66, -14, 1, 7, -126, 330, -286, 105, -17, 1, -8, 210, -792, 1001, -560, 153, -20, 1, 9, -330, 1716, -3003, 2380, -969, 210, -23, 1, -10, 495, -3432, 8008, -8568, 4845, -1540, 276, -26, 1, 11, -715, 6435, -19448, 27132, -20349, 8855, -2300, 351, -29, 1]

cp's OEIS Frontend

A124019 Triangle read by rows: T(0,0)=1; for n>=1 T(n,k) is the coefficient of x^k in the monic characteristic polynomial of the n X n band matrix with main diagonal 2,3,3,..., subdiagonal -3,-3,-3,..., sub-subdiagonal 1,1,1,... and superdiagonal -1,-1,-1,... (0<=k<=n).

Table of values

List of values