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A057369 Numbers k that can be expressed as k = w+x = y*z with w*x = (y+z)^2 where w, x, y, and z are all positive integers. 7

%I #17 May 11 2021 17:22:45

%S 16,18,25,45,50,80,234,250,261,425,1025,1040,1530,1625,1746,2320,4250,

%T 7605,7794,9650,10413,11050,11925,14416,23425,24050,27920,71298,75650,

%U 78416,81693,129625,151625,200720,221425,257085,264618,338949,340245,416050,488610

%N Numbers k that can be expressed as k = w+x = y*z with w*x = (y+z)^2 where w, x, y, and z are all positive integers.

%H Soumyadeep Dhar, <a href="/A057369/b057369.txt">Table of n, a(n) for n = 1..112</a>

%e a(1) = 16 = 8+8 = 4*4; 8*8 = (4+4)^2.

%o (PARI) is(k) = fordiv(k, y, if(issquare(k^2 - 4*(y+k/y)^2), return(1))); 0; \\ _Jinyuan Wang_, May 01 2021

%Y Cf. A057370, A057371, A057372, A057373, A057442.

%K nonn

%O 1,1

%A _Naohiro Nomoto_, Sep 23 2000

%E More terms from _Jinyuan Wang_, May 01 2021

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Last modified April 24 08:28 EDT 2024. Contains 371927 sequences. (Running on oeis4.)