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A127923 Conjectural list of difference between squares of legs of primitive Pythagorean triangles, sorted. +0
2
7, 41, 119, 161, 239, 527, 721, 959, 1081, 1241, 1393, 1519, 2047, 3281, 3479, 3713, 4207, 4633, 4681, 4879, 5593, 6647, 6887, 7327, 8119, 9401, 9641, 10199, 11753, 12121, 12319, 12593, 16999, 19159, 19199, 19873, 20447, 22393, 23359, 24521 (list; graph; listen)
OFFSET

1,1

COMMENT

This is the sorted sequence of all products A120681(i)*A120682(i). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 24 2007

The sequence is conjectural (and may miss entries) because it is generated from a finite list of primitive Pythagorean triangles. The associated lengths in a^2+b^2=c^2 are (a,b)=(3,4), (21,20), (5,12), (15,8), (119,120), (7,24), (55,48), (65,72), (35,12), (45,28), (697,696), (9,40), (33,56), (105,88), (11,60), (63,16), (297,304), (77,36), (91,60), (39,80), (403,396), (133,156), (13,84), (207,224), (4059,4060), (99,20), (171,140), (85,132), (117,44), (275,252), (15,112), (153,104), (51,140), (555,572), (95,168), (143,24), (17,144), (253,204), (225,272), (165,52), (1755,1748), (429,460),... with gcd(a,b)=1 and |a^2-b^2| in the sequence. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 24 2007

CROSSREFS

Cf. A058529, A120681, A120682.

Sequence in context: A031909 A007398 A138629 this_sequence A034575 A084779 A081625

Adjacent sequences: A127920 A127921 A127922 this_sequence A127924 A127925 A127926

KEYWORD

nonn

AUTHOR

Lekraj Beedassy (blekraj(AT)yahoo.com), Feb 06 2007

EXTENSIONS

More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 24 2007

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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