|
Search: id:A103250
|
|
|
| A103250 |
|
Numbers x, without duplication, in pythagorean triples x,y,z where x,y,z are relatively prime composite numbers and y is a perfect square. |
|
+0
1
|
|
| 30, 40, 120, 130, 160, 270, 272, 312, 350, 360, 480, 510, 520, 640, 738, 750, 888, 1000, 1080, 1088, 1160, 1170, 1200, 1218, 1248, 1342, 1400, 1440, 1470, 1920, 1960, 2040, 2080, 2080, 2210, 2430, 2448, 2560, 2590, 2808, 2952, 2968, 3000, 3150, 3240, 3250
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
The case where x and y are both squares cannot occur.
|
|
LINKS
|
MathForFun, Title?
|
|
EXAMPLE
|
x=30,y=16, 30^2 + 16^2 = 34^2. 30 is the 1-st entry in the list.
|
|
PROGRAM
|
(PARI) pythtrisq(n) = { local(a, b, c=0, k, x, y, z, vy, wx, vx, j); w = vector(n*n+1); for(a=1, n, for(b=1, n, x=2*a*b; y=b^2-a^2; z=b^2+a^2; if(y > 0 & issquare(y), c++; w[c]=x; print(x", "y", "z) ) ) ); vx=vector(c); w=vecsort(w); for(j=1, n*n, if(w[j]>0, k++; vx[k]=w[j]; ) ); for(j=1, 200, print1(vx[j]", ") ) }
|
|
CROSSREFS
|
Adjacent sequences: A103247 A103248 A103249 this_sequence A103251 A103252 A103253
Sequence in context: A001995 A004433 A025376 this_sequence A043120 A039297 A043900
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Cino Hilliard (hillcino368(AT)gmail.com), Mar 19 2005
|
|
|
Search completed in 0.002 seconds
|
