A174266 - cp's OEIS frontend

A174266 Irregular triangle read by rows: T(n,k) = Sum_{i=0..k} (-1)^i * binomial(3n+1,i) binomial(k+3-i,3)^n, 0 <= k <= 3*(n-1).

n	a(n)
1	1
2	1
3	9
4	9
5	1
6	1
7	54
8	405
9	760
10	405
11	54
12	1
13	1
14	243
15	6750
16	49682
17	128124
18	128124
19	49682
20	6750
21	243
22	1
23	1
24	1008
25	83736
26	1722320
27	12750255
28	40241088
29	58571184
30	40241088
31	12750255
32	1722320
33	83736
34	1008
35	1
36	1
37	4077
38	922347
39	45699447
40	789300477
41	5904797049
42	21475242671
43	40396577931
44	40396577931
45	21475242671
46	5904797049
47	789300477
48	45699447
49	922347
50	4077
51	1

[1, 1, 9, 9, 1, 1, 54, 405, 760, 405, 54, 1, 1, 243, 6750, 49682, 128124, 128124, 49682, 6750, 243, 1, 1, 1008, 83736, 1722320, 12750255, 40241088, 58571184, 40241088, 12750255, 1722320, 83736, 1008, 1, 1, 4077, 922347, 45699447, 789300477, 5904797049, 21475242671, 40396577931, 40396577931, 21475242671, 5904797049, 789300477, 45699447, 922347, 4077, 1]

cp's OEIS Frontend

A174266 Irregular triangle read by rows: T(n,k) = Sum_{i=0..k} (-1)^i * binomial(3n+1,i) binomial(k+3-i,3)^n, 0 <= k <= 3*(n-1).

Table of values

List of values

cp's OEIS Frontend

A174266 Irregular triangle read by rows: T(n,k) = Sum_{i=0..k} (-1)^i * binomial(3*n+1,i) * binomial(k+3-i,3)^n, 0 <= k <= 3*(n-1).

Table of values

List of values

A174266 Irregular triangle read by rows: T(n,k) = Sum_{i=0..k} (-1)^i * binomial(3n+1,i) binomial(k+3-i,3)^n, 0 <= k <= 3*(n-1).