A226485 Integer part of length of median to hypotenuse of primitive Pythagorean triangles sorted on hypotenuse.

2, 6, 8, 12, 14, 18, 20, 26, 30, 32, 32, 36, 42, 42, 44, 48, 50, 54, 56, 62, 68, 72, 72, 74, 78, 84, 86, 90, 92, 92, 96, 98, 102, 102, 110, 110, 114, 116, 120, 128, 132, 132, 134, 138, 140, 144, 146, 152, 152, 156, 158, 162, 162, 168, 174, 176, 182, 182

Offset: 1

Author

Mihir Mathur, Jun 09 2013

Keywords

• nonn

Comments

The median to hypotenuse is equal to the circumradius.

The length of the median is sqrt((a^2)/2 + (b^2)/2 - (c^2)/4) where a,b,c are sides of the triangle. In case of Pythagorean triangles, m=h/2 were h is the hypotenuse.

Examples

			a(1)=2 as it is the integer portion of the length of the median to hypotenuse of triangle having sides 3,4,5.
Similarly, a(5)=14 as it is the integer portion of the length of the median to hypotenuse of triangle having sides 20,21,29.
		

Links

• Ron Knott, Pythagorean Triples and Online Calculators

Crossrefs

Cf. A020882.

Formula

a(n) = floor(A020882(n)/2).