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A057442 For the 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, this sequence gives the corresponding values of w*x.

%I A057442 #17 May 11 2021 01:50:49
%S A057442 64,81,100,324,225,576,2025,1225,8100,8100,44100,69696,13689,8100,
%T A057442 342225,18496,189225,272484,1703025,3744225,93636,55225,15824484,
%U A057442 13017664,21996100,5832225,2005056,641601,378225,627264,741690756,2592100,37088100,2518433856,1961604100
%N A057442 For the 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, this sequence gives the corresponding values of w*x.
%C A057442 Numbers k are listed (in ascending order) in A057369.
%e A057442 From _Jon E. Schoenfield_, May 10 2021: (Start)
%e A057442 The first 10 values of k listed in A057369 and their corresponding values of w, x, y, z, and w*x are as follows:
%e A057442 .
%e A057442    n    k   w    x  y   z  w*x = a(n)
%e A057442   --  ---  --  --- --  --  ----------
%e A057442    1   16   8    8  4   4       64
%e A057442    2   18   9    9  3   6       81
%e A057442    3   25   5   20  5   5      100
%e A057442    4   45   9   36  3  15      324
%e A057442    5   50   5   45  5  10      225
%e A057442    6   80   8   72  4  20      576
%e A057442    7  234   9  225  6  39     2025
%e A057442    8  250   5  245 10  25     1225
%e A057442    9  261  36  225  3  87     8100
%e A057442   10  425  20  405  5  85     8100
%e A057442 (End)
%Y A057442 Cf. A057369.
%K A057442 nonn
%O A057442 1,1
%A A057442 _Naohiro Nomoto_, Sep 24 2000
%E A057442 More terms from _Jinyuan Wang_, May 02 2021