A172376 - cp's OEIS frontend

A172376 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 = 3, read by rows.

n	a(n)
1	1
2	1
3	1
4	1
5	12
6	1
7	1
8	180
9	180
10	1
11	1
12	2565
13	38475
14	2565
15	1
16	1
17	36936
18	7895070
19	7895070
20	36936
21	1
22	1
23	530712
24	1633531536
25	23277824388
26	1633531536
27	530712
28	1
29	1
30	7628985
31	337399490610
32	69234375473172
33	69234375473172
34	337399490610
35	7628985
36	1
37	1
38	109656180
39	69713779364775
40	205544107079102610
41	2959835141939077584
42	205544107079102610
43	69713779364775
44	109656180
45	1

[1, 1, 1, 1, 12, 1, 1, 180, 180, 1, 1, 2565, 38475, 2565, 1, 1, 36936, 7895070, 7895070, 36936, 1, 1, 530712, 1633531536, 23277824388, 1633531536, 530712, 1, 1, 7628985, 337399490610, 69234375473172, 69234375473172, 337399490610, 7628985, 1, 1, 109656180, 69713779364775, 205544107079102610, 2959835141939077584, 205544107079102610, 69713779364775, 109656180, 1]

cp's OEIS Frontend

A172376 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 = 3, read by rows.

Table of values

List of values

cp's OEIS Frontend

A172376 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 = 3, read by rows.

Table of values

List of values

A172376 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 = 3, read by rows.