A230716 Numbers whose square is both a sum and a difference of two positive cubes.

588, 1029, 1323, 2888, 4704, 8232, 8281, 9747, 10584, 15876, 23104, 27783, 33124, 35113, 35721, 37632, 47089, 65856, 66248, 73500, 74529, 77976, 84672, 103544, 114075, 127008, 127896, 128625, 165375, 184832, 201684, 222264, 223587, 263169, 264992, 280904

Offset: 1

Author

Jonathan Sondow, Oct 28 2013

Keywords

• nonn

Comments

Intersection of A050801 and A038597.

a(5)-a(24) are computed from Donovan Johnson's extension of A230717.

Examples

			588^2 = 14^3 + 70^3 = 71^3 - 23^3.
		

References

• Ian Stewart, "Game, Set and Math", Dover, 2007, Chapter 8 'Close Encounters of the Fermat Kind', pp. 107-124.

Links

• Donovan Johnson and Chai Wah Wu, Table of n, a(n) for n = 1..500 n=1..100 from Donovan Johnson
• Index to sequences related to sums of cubes

Crossrefs

Cf. A050801, A050802, A038596, A038597, A230717.

Formula

a(n)^2 = a^3 + b^3 = c^3 - d^3 for some natural numbers a, b, c, d.

a(n) = sqrt(A230717(n)).