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A057370 Numbers k that can be expressed as k = w+x = y*z with w*x = (y+z)^3 where w, x, y, and z are all positive integers. 5
1024, 1296, 1458, 2240, 2500, 2592, 3072, 3744, 3750, 5642, 5796, 6480, 6561, 8526, 9900, 10400, 11250, 11340, 12005, 14580, 15552, 22500, 25296, 29792, 40850, 46080, 47025, 52500, 57024, 76832, 78750, 99008, 101376, 107604, 111537, 122636, 138125, 140625, 153900 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..39.

EXAMPLE

a(1) = 1024 = 512+512 = 32*32; 512*512 = (32+32)^3.

PROG

(PARI) is(k) = fordiv(k, y, if(issquare(k^2 - 4*(y+k/y)^3), return(1))); 0; \\ Jinyuan Wang, May 01 2021

CROSSREFS

Cf. A057369, A057371, A057372, A057373, A057445.

Sequence in context: A023075 A084918 A235719 * A057421 A074211 A057443

Adjacent sequences:  A057367 A057368 A057369 * A057371 A057372 A057373

KEYWORD

nonn

AUTHOR

Naohiro Nomoto, Sep 23 2000

EXTENSIONS

More terms and clearer definition from Jinyuan Wang, May 01 2021

STATUS

approved

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Last modified January 22 23:50 EST 2022. Contains 350504 sequences. (Running on oeis4.)