A319234 - cp's OEIS frontend

A319234 T(n, k) is the coefficient of x^k of the polynomial p(n) which is defined as the scalar part of P(n) = Q(x, 1, 1, 1) * P(n-1) for n > 0 and P(0) = Q(1, 0, 0, 0) where Q(a, b, c, d) is a quaternion, triangle read by rows.

n	a(n)
0	1
1	0
2	1
3	-3
4	0
5	1
6	0
7	-9
8	0
9	1
10	9
11	0
12	-18
13	0
14	1
15	0
16	45
17	0
18	-30
19	0
20	1
21	-27
22	0
23	135
24	0
25	-45
26	0
27	1
28	0
29	-189
30	0
31	315
32	0
33	-63
34	0
35	1
36	81
37	0
38	-756
39	0
40	630
41	0
42	-84
43	0
44	1
45	0
46	729
47	0
48	-2268
49	0
50	1134
51	0
52	-108
53	0
54	1
55	-243
56	0
57	3645
58	0
59	-5670
60	0
61	1890
62	0
63	-135
64	0
65	1

[1, 0, 1, -3, 0, 1, 0, -9, 0, 1, 9, 0, -18, 0, 1, 0, 45, 0, -30, 0, 1, -27, 0, 135, 0, -45, 0, 1, 0, -189, 0, 315, 0, -63, 0, 1, 81, 0, -756, 0, 630, 0, -84, 0, 1, 0, 729, 0, -2268, 0, 1134, 0, -108, 0, 1, -243, 0, 3645, 0, -5670, 0, 1890, 0, -135, 0, 1]

cp's OEIS Frontend

A319234 T(n, k) is the coefficient of x^k of the polynomial p(n) which is defined as the scalar part of P(n) = Q(x, 1, 1, 1) * P(n-1) for n > 0 and P(0) = Q(1, 0, 0, 0) where Q(a, b, c, d) is a quaternion, triangle read by rows.

Table of values

List of values