A238376 Smallest other side of an Heronian triangle with a side of length n.

4, 3, 3, 5, 15, 5, 10, 6, 13, 5, 4, 13, 4, 10, 8, 15, 20, 7, 10, 26, 123, 7, 3, 3, 29, 15, 5, 5, 68, 20, 25, 15, 8, 15, 12, 25, 10, 9, 9, 20, 61, 15, 12, 75, 250, 14, 105, 6, 4, 5, 4, 45, 12, 25, 60, 10, 68, 10, 11, 39, 16, 40, 7, 35, 85, 7, 29, 9, 447, 21, 9

Offset

3,1

Links

Giovanni Resta, Table of n, a(n) for n = 3..1000

Example

a(8) = 5 because (8,5,5) is Heronian triangle, and there are no such triangles with one side equal to 8 and another equal to 1, 2, 3 or 4.

Mathematica

area[a_, b_, c_] := Block[{p=(a+b+c)/2}, Sqrt[p*(p-a)*(p-b)*(p-c)]]; a[n_] := Catch@ Block[{b = 0, c}, While[True, b++; Do[If[ IntegerQ[area[n, b, c]], Throw@b], {c, Max[Abs[n-b] + 1, b], n+b-1}]]] /; n > 2; a/@ Range[3, 50]

Crossrefs

Cf. A055527.

Sequence in context: A263046 A154913 A154915 * A237197 A006994 A038627

Adjacent sequences: A238373 A238374 A238375 * A238377 A238378 A238379

Keyword

nonn

Author

Giovanni Resta, Feb 25 2014

Status

approved