%I #7 Apr 16 2024 13:32:53
%S 1,2,4,6,9,12,16,20,25,30,36,42,49,56,64,72,81,90,100,110,120,131,144,
%T 156,168,182,196,210,225,239,256,270,288,306,321,342,361,380,399,420,
%U 441,460,484,505,527,552,576,599,623,649,673,702,729,752,781,808,840,870,900
%N a(n) is the number of distinct areas of triangles with integer sides whose largest side is n.
%F a(n) <= A002620(n+1), with equality for n <= 20.
%o (PARI) A2(a,b,c) = {my(s=(a+b+c)/2);s*(s-a)*(s-b)*(s-c)};
%o a371972(n) = {my (A=List()); for(s2=1,n, for(s3=1,s2, if(s2+s3>n, listput(A, A2(n,s2,s3))))); #Set(A)};
%Y Cf. A002620, A371973, A371345.
%K nonn
%O 1,2
%A _Hugo Pfoertner_, Apr 16 2024