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Mathematics
Problem
Let
(
1
+
x
+
x
2
+
x
3
+
x
4
)
n
=
a
0
+
a
1
x
+
a
2
x
2
+
⋯
+
a
4
n
x
4
n
(1+x+x^2+x^3+x^4)^n = a_0 + a_1x + a_2x^2 + \dots + a_{4n}x^{4n}
(
1
+
x
+
x
2
+
x
3
+
x
4
)
n
=
a
0
+
a
1
x
+
a
2
x
2
+
⋯
+
a
4
n
x
4
n
, then
a
1
+
a
3
+
a
5
+
…
a
0
+
a
2
+
a
4
+
a
6
+
a
8
+
a
10
+
…
equal to
\frac{a_1 + a_3 + a_5 + \dots}{a_0 + a_2 + a_4 + a_6 + a_8 + a_{10} + \dots} \text{ equal to}
a
0
+
a
2
+
a
4
+
a
6
+
a
8
+
a
10
+
…
a
1
+
a
3
+
a
5
+
…
equal to
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