A361887 - cp's OEIS frontend

A361887 a(n) = S(5,n), where S(r,n) = Sum_{k = 0..floor(n/2)} ( binomial(n,k) - binomial(n,k-1) )^r.

n	a(n)
0	1
1	1
2	2
3	33
4	276
5	4150
6	65300
7	1083425
8	20965000
9	399876876
10	8461219032
11	178642861782
12	4010820554664
13	90684123972156
14	2130950905378152
15	50560833176021025
16	1231721051614138800
17	30294218438009039800
18	759645100717216142000
19	19213764100954274616908
20	493269287121905287769776

[1, 1, 2, 33, 276, 4150, 65300, 1083425, 20965000, 399876876, 8461219032, 178642861782, 4010820554664, 90684123972156, 2130950905378152, 50560833176021025, 1231721051614138800, 30294218438009039800, 759645100717216142000, 19213764100954274616908, 493269287121905287769776]

cp's OEIS Frontend

A361887 a(n) = S(5,n), where S(r,n) = Sum_{k = 0..floor(n/2)} ( binomial(n,k) - binomial(n,k-1) )^r.

Table of values

List of values