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.

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

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: A084918 A235719 A365583 * 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