A355491 - OEIS

A355491

Numbers of the form a+b+c = a^3 - b^3 - c^3 where a > b >= c > 0.

10, 35, 54, 64, 199, 235, 279, 747, 1224, 1610, 1774, 6156, 8254, 11035, 12024, 16875, 56439, 66340, 75635, 82279, 115712, 134045, 136765, 150480, 175616, 212266, 255277, 299789, 339759, 386704, 518410, 563814, 643824, 1025776, 1429190, 1431233, 1468846, 1598374

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..38.

EXAMPLE

10 is a term: 10 = 4+3+3 = 4^3 - 3^3 - 3^3.

35 is a term: 35 = 14+13+8 = 14^3 - 13^3 - 8^3.

MATHEMATICA

Solve[a==r^3-s^3-d^3 && 1<=r<=1000 && 1<=s<=1000 && 1<=d<=1000 && 0<=a && r>s>=d && a==r+s+d, {a, r, s, d}, Integers]

CROSSREFS

Cf. A355490 (with squares instead of cubes).