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16
E 16
E 16
Source:
May 25, 2007
algebra
polynomial
binomial coefficients
Problem Statement
Prove that for any prime
p
p
p
in the interval
]
n
,
4
n
3
]
\left]n, \frac{4n}{3}\right]
]
n
,
3
4
n
]
,
p
p
p
divides
∑
j
=
0
n
(
n
j
)
4
.
\sum^{n}_{j=0}{{n}\choose{j}}^{4}.
j
=
0
∑
n
(
j
n
)
4
.
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