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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified December 15 00:30 EST 2019. Contains 329988 sequences. (Running on oeis4.)