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A024361 Number of primitive Pythagorean triangles with leg n. +0
8
0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 4, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 4, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2 (list; graph; listen)
OFFSET

1,12

COMMENT

Consider primitive Pythagorean triangles (A^2 + B^2 = C^2, (A, B) = 1, A <= B); sequence gives number of times AUB takes value n.

For n>1, a(n)=0 for n=A016825=2(mod 4). Also, number of ways of expressing n as a difference of two coprime squares. - Lekraj Beedassy (blekraj(AT)yahoo.com), Sep 28 2004

LINKS

Ron Knott, Pythagorean Triples and Online Calculators

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

CROSSREFS

Cf. A024362, A046079.

Cf. A020883; A020884.

Sequence in context: A029296 A096419 A130182 this_sequence A135486 A030187 A117278

Adjacent sequences: A024358 A024359 A024360 this_sequence A024362 A024363 A024364

KEYWORD

nonn

AUTHOR

David W. Wilson (davidwwilson(AT)comcast.net)

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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