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Integers m whose decimal representation can be split into integers a,b,c such that the triangle with sides a,b,c has area sqrt(m).
0

%I #21 Sep 15 2024 10:45:29

%S 459756,80312850756

%N Integers m whose decimal representation can be split into integers a,b,c such that the triangle with sides a,b,c has area sqrt(m).

%C Instances of b and c in m can have leading zeros.

%C Each term is congruent to 0, 8, 16, 28, 36, 44, 48, 56, 68, 76, 88, or 96 modulo 100.

%C The length of c in m for any further term should be at least 6.

%H Diego Rattaggi, <a href="https://x.com/diegorattaggi/status/1178739510462570499">Just a triangle</a>, X, 2019.

%e 45|97|56 is the squared area of a triangle with sides 45, 97, 56.

%e 803|1285|0756 is the squared area of a triangle with sides 803, 1285, 756.

%Y Subsequence of A213158.

%K bref,base,nonn,hard,more

%O 1,1

%A _Max Alekseyev_, Sep 13 2024

%E a(1) was found by Diego Rattaggi.