A156764 - cp's OEIS frontend

A156764 Triangle T(n, k, m) = b(n, m)/(b(k, m)b(n-k, m)), with T(0, k, m) = 1, b(n, k) = Product_{j=1..n} ( Sum_{i=0..j-1} (-1)^(j+i)(j+1)(k+1)^iStirlingS1(j-1, i) ), b(n, 0) = n!, and m = 3, read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	6
5	1
6	1
7	40
8	40
9	1
10	1
11	300
12	2000
13	300
14	1
15	1
16	2520
17	126000
18	126000
19	2520
20	1
21	1
22	23520
23	9878400
24	74088000
25	9878400
26	23520
27	1
28	1
29	241920
30	948326400
31	59744563200
32	59744563200
33	948326400
34	241920
35	1
36	1
37	2721600
38	109734912000
39	64524128256000
40	542002677350400
41	64524128256000
42	109734912000
43	2721600
44	1

[1, 1, 1, 1, 6, 1, 1, 40, 40, 1, 1, 300, 2000, 300, 1, 1, 2520, 126000, 126000, 2520, 1, 1, 23520, 9878400, 74088000, 9878400, 23520, 1, 1, 241920, 948326400, 59744563200, 59744563200, 948326400, 241920, 1, 1, 2721600, 109734912000, 64524128256000, 542002677350400, 64524128256000, 109734912000, 2721600, 1]

cp's OEIS Frontend

A156764 Triangle T(n, k, m) = b(n, m)/(b(k, m)b(n-k, m)), with T(0, k, m) = 1, b(n, k) = Product_{j=1..n} ( Sum_{i=0..j-1} (-1)^(j+i)(j+1)(k+1)^iStirlingS1(j-1, i) ), b(n, 0) = n!, and m = 3, read by rows.

Table of values

List of values

cp's OEIS Frontend

A156764 Triangle T(n, k, m) = b(n, m)/(b(k, m)*b(n-k, m)), with T(0, k, m) = 1, b(n, k) = Product_{j=1..n} ( Sum_{i=0..j-1} (-1)^(j+i)*(j+1)*(k+1)^i*StirlingS1(j-1, i) ), b(n, 0) = n!, and m = 3, read by rows.

Table of values

List of values

A156764 Triangle T(n, k, m) = b(n, m)/(b(k, m)b(n-k, m)), with T(0, k, m) = 1, b(n, k) = Product_{j=1..n} ( Sum_{i=0..j-1} (-1)^(j+i)(j+1)(k+1)^iStirlingS1(j-1, i) ), b(n, 0) = n!, and m = 3, read by rows.