A102410 - cp's OEIS frontend

A102410 Odd triangle n!. This table read by rows gives the coefficients of sum formulas of n-th Factorials (A000142). The k-th row (6>=k>=1) contains T(i,k) for i=1 to k+2, where k=[2n+3+(-1)^n]/4 and T(i,k) satisfies n! = Sum_{i=1..k+2} T(i,k) n^(i-1) / (2*k-2)!.

n	a(n)
1	1
2	0
3	0
4	-6
5	3
6	1
7	0
8	2400
9	-2024
10	264
11	32
12	0
13	2570400
14	909720
15	-666540
16	55800
17	3420
18	0
19	-19071521280
20	12195884736
21	-762499920
22	-282106440
23	22425480
24	741384
25	840
26	-219303218534400
27	-11953192930560
28	27128332828800
29	-2808016545600
30	-125442525600
31	14164990560
32	280576800

[1, 0, 0, -6, 3, 1, 0, 2400, -2024, 264, 32, 0, 2570400, 909720, -666540, 55800, 3420, 0, -19071521280, 12195884736, -762499920, -282106440, 22425480, 741384, 840, -219303218534400, -11953192930560, 27128332828800, -2808016545600, -125442525600, 14164990560, 280576800]

cp's OEIS Frontend

A102410 Odd triangle n!. This table read by rows gives the coefficients of sum formulas of n-th Factorials (A000142). The k-th row (6>=k>=1) contains T(i,k) for i=1 to k+2, where k=[2n+3+(-1)^n]/4 and T(i,k) satisfies n! = Sum_{i=1..k+2} T(i,k) n^(i-1) / (2*k-2)!.

Table of values

List of values

cp's OEIS Frontend

A102410 Odd triangle n!. This table read by rows gives the coefficients of sum formulas of n-th Factorials (A000142). The k-th row (6>=k>=1) contains T(i,k) for i=1 to k+2, where k=[2*n+3+(-1)^n]/4 and T(i,k) satisfies n! = Sum_{i=1..k+2} T(i,k) * n^(i-1) / (2*k-2)!.

Table of values

List of values

A102410 Odd triangle n!. This table read by rows gives the coefficients of sum formulas of n-th Factorials (A000142). The k-th row (6>=k>=1) contains T(i,k) for i=1 to k+2, where k=[2n+3+(-1)^n]/4 and T(i,k) satisfies n! = Sum_{i=1..k+2} T(i,k) n^(i-1) / (2*k-2)!.