A102411 - cp's OEIS frontend

A102411 Even triangle !n. This table read by rows gives the coefficients of sum formulas of n-th Left factorials (A003422). The k-th row (6>=k>=1) contains T(i,k) for i=1 to k+2, where k=[2n+1+(-1)^(n-1)]/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	0
2	1
3	0
4	-16
5	5
6	1
7	0
8	5256
9	-3068
10	276
11	32
12	0
13	2070720
14	2367420
15	-912150
16	53220
17	3510
18	0
19	-36031524480
20	15327895296
21	-40587120
22	-387492840
23	21414120
24	758184
25	840
26	-212459319878400
27	-75473246681280
28	38182549456800
29	-2562251680800
30	-195611371200
31	13639812480
32	285616800
33	453600

[0, 1, 0, -16, 5, 1, 0, 5256, -3068, 276, 32, 0, 2070720, 2367420, -912150, 53220, 3510, 0, -36031524480, 15327895296, -40587120, -387492840, 21414120, 758184, 840, -212459319878400, -75473246681280, 38182549456800, -2562251680800, -195611371200, 13639812480, 285616800, 453600]

cp's OEIS Frontend

A102411 Even triangle !n. This table read by rows gives the coefficients of sum formulas of n-th Left factorials (A003422). The k-th row (6>=k>=1) contains T(i,k) for i=1 to k+2, where k=[2n+1+(-1)^(n-1)]/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

A102411 Even triangle !n. This table read by rows gives the coefficients of sum formulas of n-th Left factorials (A003422). The k-th row (6>=k>=1) contains T(i,k) for i=1 to k+2, where k=[2*n+1+(-1)^(n-1)]/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

A102411 Even triangle !n. This table read by rows gives the coefficients of sum formulas of n-th Left factorials (A003422). The k-th row (6>=k>=1) contains T(i,k) for i=1 to k+2, where k=[2n+1+(-1)^(n-1)]/4 and T(i,k) satisfies !n = Sum_{i=1..k+2} T(i,k) n^(i-1) / (2*k-2)!.