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Swedish Mathematical Competition
1980 Swedish Mathematical Competition
3
3
Part of
1980 Swedish Mathematical Competition
Problems
(1)
T(n+1)-T(n) , if T(n) is the no of dissimilar triangles with integers sides <=n
Source: 1980 Swedish Mathematical Competition p3
3/28/2021
Let
T
(
n
)
T(n)
T
(
n
)
be the number of dissimilar (non-degenerate) triangles with all side lengths integral and
≤
n
\leq n
≤
n
. Find
T
(
n
+
1
)
−
T
(
n
)
T(n+1)-T(n)
T
(
n
+
1
)
−
T
(
n
)
.
combinatorial geometry
combinatorics
Integers
geometry