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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
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

LINKS

Table of n, a(n) for n=1..35.

EXAMPLE

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.

Sequence in context: A045286 A334825 A057372 * A141817 A008435 A223083

Adjacent sequences:  A057439 A057440 A057441 * A057443 A057444 A057445

KEYWORD

nonn

AUTHOR

Naohiro Nomoto, Sep 24 2000

EXTENSIONS

More terms from Jinyuan Wang, May 02 2021

STATUS

approved

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Last modified December 1 22:12 EST 2021. Contains 349435 sequences. (Running on oeis4.)