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

1,1

Links

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

Example

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.

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);

Crossrefs

Cf. A381336.

Sequence in context: A313730 A313731 A313732 * A306236 A297305 A182340

Adjacent sequences: A381334 A381335 A381336 * A381338 A381339 A381340

Keyword

nonn

Author

Felix Huber, Mar 18 2025

Status

approved