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.

64, 81, 100, 324, 225, 576, 2025, 1225, 8100, 8100, 44100, 69696, 13689, 8100, 342225, 18496, 189225, 272484, 1703025, 3744225, 93636, 55225, 15824484, 13017664, 21996100, 5832225, 2005056, 641601, 378225, 627264, 741690756, 2592100, 37088100, 2518433856, 1961604100

Offset: 1

Author

Naohiro Nomoto, Sep 24 2000

Keywords

• nonn

Comments

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

Examples

			From _Jon E. Schoenfield_, May 10 2021: (Start)
The first 10 values of k listed in A057369 and their corresponding values of w, x, y, z, and w*x are as follows:
.
   n    k   w    x  y   z  w*x = a(n)
  --  ---  --  --- --  --  ----------
   1   16   8    8  4   4       64
   2   18   9    9  3   6       81
   3   25   5   20  5   5      100
   4   45   9   36  3  15      324
   5   50   5   45  5  10      225
   6   80   8   72  4  20      576
   7  234   9  225  6  39     2025
   8  250   5  245 10  25     1225
   9  261  36  225  3  87     8100
  10  425  20  405  5  85     8100
(End)
		

Crossrefs

Cf. A057369.

Extensions

More terms from Jinyuan Wang, May 02 2021