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.
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
Offset: 1
Examples
x=30, y=16, 30^2 + 16^2 = 34^2. 30 is the 1st entry in the list.
Links
- MathForFun, Pythagorean triples
- Chenglong Zou, Peter Otzen, Cino Hilliard, Pythagorean triplets, digest of 6 messages in mathfun Yahoo group, Mar 19, 2005.
Programs
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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]",") ) }
Comments