The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A088546 Square root of sum of legs of primitive Pythagorean triangles having legs that add up to a square, sorted on hypotenuse. 17
 7, 17, 23, 31, 47, 41, 49, 71, 73, 79, 89, 97, 113, 103, 119, 119, 127, 137, 151, 161, 161, 167, 191, 199, 193, 217, 217, 233, 223, 241, 263, 271, 257, 239, 281, 287, 287, 313, 289, 329, 329, 343, 311, 353, 367, 337, 359, 383, 409, 391, 401, 391, 433, 439, 463 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Numbers whose square is the sum of the legs of primitive Pythagorean triangles with hypotenuse A088319(n). LINKS Ray Chandler, Table of n, a(n) for n = 1..10000 FORMULA a(n) = abs(j^2 - k^2/2), where j=A088515(n), k=A088516(n). a(n) = sqrt(A089552(n)). EXAMPLE 31 is in the sequence because it is associated with the primitive Pythagorean triangle (400,561,689) where 400+561=31^2. MATHEMATICA terms = 1000; jmax = 100; kmax = 200; Reap[Do[If[CoprimeQ[j, k], e = j^2 - j k + k^2/2; f = j k; If[e > f, Sow[{e^2 + f^2, Abs[j^2 - k^2/2]}]]], {j, 1, jmax}, {k, 2, kmax, 2}]][[2, 1]] // Sort // #[[;; terms, 2]]& (* Jean-François Alcover, Mar 05 2020 *) CROSSREFS Cf. A088319, A088515, A088516, A089545-A089552, A089554-A089558. Sequence in context: A254678 A165353 A048976 * A265816 A246717 A295706 Adjacent sequences: A088543 A088544 A088545 * A088547 A088548 A088549 KEYWORD nonn AUTHOR Lekraj Beedassy, Nov 17 2003 EXTENSIONS More terms from Ray Chandler, Nov 16 2003 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 13 17:01 EDT 2024. Contains 373391 sequences. (Running on oeis4.)