Processing math: 100%
Department of Mathematics
Fall 2018, problem 73
For all positive integers
n
and
k
, define
F
(
n
,
k
)
=
∑
n
r
=
1
r
2
k
−
1
. Prove that
F
(
n
,
1
)
divides
F
(
n
,
k
)
.
Comments
upvote
0
downvote
wgw
3 years ago
Two words -- Faulhaber's formula. (Google it, or just go to the Wikipedia article.)
Problem of the Week
Archive
Two words -- Faulhaber's formula. (Google it, or just go to the Wikipedia article.)