

A226485


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


0



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
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OFFSET

1,1


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.


LINKS

Table of n, a(n) for n=1..58.
Ron Knott, Pythagorean Triples and Online Calculators


FORMULA

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


EXAMPLE

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.


CROSSREFS

Cf. A020882.
Sequence in context: A189933 A229488 A307699 * A213638 A191965 A173064
Adjacent sequences: A226482 A226483 A226484 * A226486 A226487 A226488


KEYWORD

nonn


AUTHOR

Mihir Mathur, Jun 09 2013


STATUS

approved



