A057370 - OEIS

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

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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