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Mathematics
Problem
Let
α
=
1
2
+
4
2
+
8
2
+
13
2
+
19
2
+
26
2
+
…
\alpha = 1^2 + 4^2 + 8^2 + 13^2 + 19^2 + 26^2 + \dots
α
=
1
2
+
4
2
+
8
2
+
1
3
2
+
1
9
2
+
2
6
2
+
…
upto 10 terms and
β
=
∑
n
=
1
10
n
4
\beta = \sum_{n=1}^{10} n^4
β
=
∑
n
=
1
10
n
4
. If
4
α
−
β
=
55
k
+
40
4\alpha - \beta = 55k + 40
4
α
−
β
=
55
k
+
40
, then
k
k
k
is equal to
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