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VTRMC
2017 VTRMC
7
7
Part of
2017 VTRMC
Problems
(1)
2017 VTRMC #7
Source:
8/8/2018
Find all pairs
(
m
,
n
)
(m, n)
(
m
,
n
)
of nonnegative integers for which
m
2
+
2
⋅
3
n
=
m
(
2
n
+
1
−
1
)
m ^ { 2 } + 2 \cdot 3 ^ { n } = m \left( 2 ^ { n + 1 } - 1 \right)
m
2
+
2
⋅
3
n
=
m
(
2
n
+
1
−
1
)
.