A381337 a(n) is the smallest c >= A381336(n) + n for which a nondegenerate integer-sided triangle (A381336(n), A381336(n) + n, c) with an integer area exists.

5, 10, 15, 20, 25, 30, 13, 20, 15, 50, 25, 60, 41, 26, 75, 40, 25, 30, 29, 50, 35, 26, 37, 30, 39, 52, 45, 52, 109, 82, 41, 80, 55, 50, 65, 60, 61, 58, 61, 68, 73, 70, 65, 52, 75, 52, 53, 60, 61, 78, 75, 104, 203, 90, 75, 70, 87, 68, 101, 150, 89, 82, 91, 80, 117

Offset: 1

Author

Felix Huber, Mar 18 2025

Keywords

• nonn

Examples

			a(5) = 25 because A381336(n) = 12 and the nondegenerate integer-sided triangle (12, 12 + 5, 25 >= 12 + 5) has an integer area (90), and there is no smaller c > 12 + 5 than 25 that satisfies this condition.
		

Links

• Felix Huber, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A381336.

Programs

Maple

A381337:=proc(n)
    local k,c,s;
    for k do
        for c from k+n to 2*k+n-1 do
            s:=(n+2*k+c)/2;
            if issqr(s*(s-k)*(s-k-n)*(s-c)) then
                return c
            fi
        od
    od;
end proc;
seq(A381337(n),n=1..65);