A143629 - cp's OEIS frontend

A143629 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(1).

n	a(n)
0	0
1	1
2	0
3	-2
4	-7
5	-23
6	-80
7	-271
8	-750
9	-647
10	13039
11	152011
12	1232583
13	8750796
14	57405464
15	349329354
16	1899818951
17	8008845556
18	5981853002
19	-425732481925
20	-7285403175563
21	-89895756043392
22	-970910901819211
23	-9663021449412616

[0, 1, 0, -2, -7, -23, -80, -271, -750, -647, 13039, 152011, 1232583, 8750796, 57405464, 349329354, 1899818951, 8008845556, 5981853002, -425732481925, -7285403175563, -89895756043392, -970910901819211, -9663021449412616]

cp's OEIS Frontend

A143629 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(1).

Table of values

List of values