|
Search: id:A020882
|
|
|
| A020882 |
|
Ordered hypotenuses of primitive Pythagorean triangles. |
|
+0
37
|
|
| 5, 13, 17, 25, 29, 37, 41, 53, 61, 65, 65, 73, 85, 85, 89, 97, 101, 109, 113, 125, 137, 145, 145, 149, 157, 169, 173, 181, 185, 185, 193, 197, 205, 205, 221, 221, 229, 233, 241, 257, 265, 265, 269, 277, 281, 289, 293, 305, 305, 313, 317, 325, 325, 337, 349, 353, 365, 365
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
The largest member 'c' of the primitive Pythagorean triples (a,b,c) ordered by increasing c.
a(n) = sqrt[{(A120681(n)^2 + A120682(n)^2}/2]. - Lekraj Beedassy (blekraj(AT)yahoo.com), Jun 24 2006
|
|
LINKS
|
Hans Isdahl, Pythagoras site (in Norwegian)
Ron Knott, Pythagorean Triples and Online Calculators
E. S. Rowland, Primitive Solutions to x^2 + y^2 = z^2
M. Somos, Table of primitive Pythagorean triplets and related parameters
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
|
|
MATHEMATICA
|
lst={}; amx=99; Do[For[b=a+1, b<(a^2/2), c=(a^2+b^2)^(1/2); If[c==IntegerPart[c]&&GCD[a, b, c]==1, AppendTo[lst, c]]; b=b+2], {a, 3, amx}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 07 2008]
|
|
CROSSREFS
|
Cf. A004613, A008846, A020883-A020886, A046086, A046087, A134961.
Sequence in context: A037046 A126887 A087445 this_sequence A081804 A004613 A008846
Adjacent sequences: A020879 A020880 A020881 this_sequence A020883 A020884 A020885
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Clark Kimberling (ck6(AT)evansville.edu)
|
|
|
Search completed in 0.002 seconds
|
