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 A156682 Consider all Pythagorean triangles A^2 + B^2 = C^2 with A
 5, 13, 10, 25, 17, 15, 41, 26, 61, 20, 37, 85, 50, 25, 39, 113, 34, 65, 145, 30, 82, 181, 29, 52, 101, 35, 75, 221, 122, 265, 40, 51, 74, 145, 65, 313, 170, 45, 123, 365, 53, 100, 197, 421, 50, 78, 226, 481, 68, 130, 257, 55, 65, 183, 545, 290, 91, 125, 613, 60, 85, 111 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The corresponding sequence for primitive triples is A156679. For all triples, the ordered sequence of C values is A020882 (allowing repetitions) and A009003 (excluding repetitions). REFERENCES Beiler, Albert H.: Recreations In The Theory Of Numbers, Chapter XIV, The Eternal Triangle, Dover Publications Inc., New York, 1964, pp. 104-134. Sierpinski, W.; Pythagorean Triangles, Dover Publications, Inc., Mineola, New York, 2003. LINKS FORMULA a(n) = sqrt(A009004(n)^2 + A156681(n)^2). EXAMPLE As the first four Pythagorean triples (ordered by increasing A) are (3,4,5), (5,12,13), (6,8,10) and (7,24,25), then a(1)=5, a(2)=13, a(3)=10 and a(4)=25. MATHEMATICA PythagoreanTriplets[n_]:=Module[{t={{3, 4, 5}}, i=4, j=5}, While[i

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Last modified May 9 19:47 EDT 2021. Contains 343746 sequences. (Running on oeis4.)