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Search: id:A103249
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| A103249 |
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Numbers y, without duplication, in pythagorean triples x,y,z where x,y,z are relatively prime composite numbers and x is a perfect square. |
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3
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| 3, 12, 17, 27, 48, 63, 68, 75, 77, 99, 108, 147, 153, 192, 243, 252, 272, 300, 301, 308, 323, 363, 396, 399, 425, 432, 507, 561, 567, 577, 588, 612, 621, 675, 693, 768, 833, 867, 891, 943, 972, 1008, 1023, 1083, 1088, 1200, 1204, 1232, 1292, 1323, 1377, 1377
(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 and y are both squares.
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LINKS
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MathForFun, Title?
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EXAMPLE
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y=3,x=4, 4^2 + 3^2 = 5^2. 3 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, 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(x), c++; w[c]=y; print(x", "y", "z) ) ) ); vy=vector(c); w=vecsort(w); for(j=1, n*n, if(w[j]>0, k++; vy[k]=w[j]; ) ); for(j=1, 200, print1(vy[j]", ") ) }
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CROSSREFS
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Adjacent sequences: A103246 A103247 A103248 this_sequence A103250 A103251 A103252
Sequence in context: A136047 A082965 A045549 this_sequence A047906 A104641 A032703
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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 19 2005
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