

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



16, 18, 25, 45, 50, 80, 234, 250, 261, 425, 1025, 1040, 1530, 1625, 1746, 2320, 4250, 7605, 7794, 9650, 10413, 11050, 11925, 14416, 23425, 24050, 27920, 71298, 75650, 78416, 81693, 129625, 151625, 200720, 221425, 257085, 264618, 338949, 340245, 416050, 488610
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OFFSET

1,1


LINKS

Soumyadeep Dhar, Table of n, a(n) for n = 1..112


EXAMPLE

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


PROG

(PARI) is(k) = fordiv(k, y, if(issquare(k^2  4*(y+k/y)^2), return(1))); 0; \\ Jinyuan Wang, May 01 2021


CROSSREFS

Cf. A057370, A057371, A057372, A057373, A057442.
Sequence in context: A337374 A255847 A160778 * A178110 A117100 A101848
Adjacent sequences: A057366 A057367 A057368 * A057370 A057371 A057372


KEYWORD

nonn


AUTHOR

Naohiro Nomoto, Sep 23 2000


EXTENSIONS

More terms from Jinyuan Wang, May 01 2021


STATUS

approved



