A172375 - cp's OEIS frontend

A172375 Triangle T(n, k, q) = c(n-1, q)c(n, q)/(c(k-1, q)^2c(n-k, q)c(n-k+1, q)f(k, q)), where c(n, q) = Product_{j=1..n} f(j, q), f(n, q) = q*(f(n-1, q) + f(n-2, q)), f(0, q) = 0, f(1, q) = 1, and q = 2, read by rows.

n	a(n)
1	1
2	1
3	1
4	1
5	6
6	1
7	1
8	48
9	48
10	1
11	1
12	352
13	2816
14	352
15	1
16	1
17	2640
18	154880
19	154880
20	2640
21	1
22	1
23	19680
24	8659200
25	63500800
26	8659200
27	19680
28	1
29	1
30	146944
31	481976320
32	26508697600
33	26508697600
34	481976320
35	146944
36	1
37	1
38	1096704
39	26859012096
40	11012194959360
41	82591462195200
42	11012194959360
43	26859012096
44	1096704
45	1

[1, 1, 1, 1, 6, 1, 1, 48, 48, 1, 1, 352, 2816, 352, 1, 1, 2640, 154880, 154880, 2640, 1, 1, 19680, 8659200, 63500800, 8659200, 19680, 1, 1, 146944, 481976320, 26508697600, 26508697600, 481976320, 146944, 1, 1, 1096704, 26859012096, 11012194959360, 82591462195200, 11012194959360, 26859012096, 1096704, 1]

cp's OEIS Frontend

A172375 Triangle T(n, k, q) = c(n-1, q)c(n, q)/(c(k-1, q)^2c(n-k, q)c(n-k+1, q)f(k, q)), where c(n, q) = Product_{j=1..n} f(j, q), f(n, q) = q*(f(n-1, q) + f(n-2, q)), f(0, q) = 0, f(1, q) = 1, and q = 2, read by rows.

Table of values

List of values

cp's OEIS Frontend

A172375 Triangle T(n, k, q) = c(n-1, q)*c(n, q)/(c(k-1, q)^2*c(n-k, q)*c(n-k+1, q)*f(k, q)), where c(n, q) = Product_{j=1..n} f(j, q), f(n, q) = q*(f(n-1, q) + f(n-2, q)), f(0, q) = 0, f(1, q) = 1, and q = 2, read by rows.

Table of values

List of values

A172375 Triangle T(n, k, q) = c(n-1, q)c(n, q)/(c(k-1, q)^2c(n-k, q)c(n-k+1, q)f(k, q)), where c(n, q) = Product_{j=1..n} f(j, q), f(n, q) = q*(f(n-1, q) + f(n-2, q)), f(0, q) = 0, f(1, q) = 1, and q = 2, read by rows.