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Search: id:A103251
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| A103251 |
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Numbers x, without duplication, in pythagorean triples x,y,z where x,y,z are relatively prime composite numbers and z is a perfect square. |
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+0
1
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| 24, 96, 120, 216, 240, 336, 384, 480, 600, 720, 840, 840, 864, 960, 1080, 1176, 1320, 1344, 1536, 1920, 1944, 2016, 2160, 2184, 2400, 2520, 2880, 2904, 3000, 3024, 3360, 3360, 3360, 3456, 3696, 3840, 3960, 4056, 4320, 4704, 4896, 5280, 5280, 5376, 5400
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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We will not find the case where x or y and z are squares.
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LINKS
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MathForFun, Title?
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EXAMPLE
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x=24,y=7, 24^2 + 7^2 = 25^2. 24 is the 1-st entry in the list.
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PROGRAM
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(PARI) pythtrisq(n) = { local(a, b, c=0, k, x, y, z, vy, wx, vx, vz, 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(z), 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]", ") ) }
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CROSSREFS
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Sequence in context: A076799 A055671 A090214 this_sequence A057102 A057103 A055669
Adjacent sequences: A103248 A103249 A103250 this_sequence A103252 A103253 A103254
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KEYWORD
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easy,nonn
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AUTHOR
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Cino Hilliard (hillcino368(AT)gmail.com), Mar 20 2005
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