A143628 - cp's OEIS frontend

A143628 Define E(n) = Sum_{k >= 0} (-1)^floor(k/3)*k^n/k! for n = 0,1,2,... . Then E(n) is an integral linear combination of E(0), E(1) and E(2). This sequence lists the coefficients of E(0).

n	a(n)
0	1
1	0
2	0
3	-1
4	-6
5	-25
6	-89
7	-280
8	-700
9	-380
10	13452
11	149831
12	1214852
13	8700263
14	57515640
15	351296151
16	1909757620
17	8017484274
18	5703377941
19	-428273438434
20	-7295220035921
21	-89868583754993
22	-970185398785810
23	-9657428906237364

[1, 0, 0, -1, -6, -25, -89, -280, -700, -380, 13452, 149831, 1214852, 8700263, 57515640, 351296151, 1909757620, 8017484274, 5703377941, -428273438434, -7295220035921, -89868583754993, -970185398785810, -9657428906237364]

cp's OEIS Frontend

A143628 Define E(n) = Sum_{k >= 0} (-1)^floor(k/3)*k^n/k! for n = 0,1,2,... . Then E(n) is an integral linear combination of E(0), E(1) and E(2). This sequence lists the coefficients of E(0).

Table of values

List of values