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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. 2

%I #17 May 11 2021 01:50:49

%S 64,81,100,324,225,576,2025,1225,8100,8100,44100,69696,13689,8100,

%T 342225,18496,189225,272484,1703025,3744225,93636,55225,15824484,

%U 13017664,21996100,5832225,2005056,641601,378225,627264,741690756,2592100,37088100,2518433856,1961604100

%N 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 Numbers k are listed (in ascending order) in A057369.

%e From _Jon E. Schoenfield_, May 10 2021: (Start)

%e 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 .

%e n k w x y z w*x = a(n)

%e -- --- -- --- -- -- ----------

%e 1 16 8 8 4 4 64

%e 2 18 9 9 3 6 81

%e 3 25 5 20 5 5 100

%e 4 45 9 36 3 15 324

%e 5 50 5 45 5 10 225

%e 6 80 8 72 4 20 576

%e 7 234 9 225 6 39 2025

%e 8 250 5 245 10 25 1225

%e 9 261 36 225 3 87 8100

%e 10 425 20 405 5 85 8100

%e (End)

%Y Cf. A057369.

%K nonn

%O 1,1

%A _Naohiro Nomoto_, Sep 24 2000

%E More terms from _Jinyuan Wang_, May 02 2021

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)