A242184 Integers, a, which are the solutions to the equation a^2 + b^3 = c^4, with integers a, b > 0, and indexed off of A242183.

27, 28, 63, 433, 648, 1176, 1728, 1792, 2925, 3807, 4032, 4500, 4785, 4941, 6000, 6083, 6875, 7203, 7452, 7902, 8100, 10000, 10125, 12005, 13328, 14703, 15525, 19683, 20412, 21266, 26775, 27712, 32507, 33750, 35672, 40572, 40797, 41328, 41472, 45927, 49375

Offset: 1

Author

Lars Blomberg, May 06 2014

Keywords

• nonn

Examples

			a(1)=28 since A242183(1)=6 and 6^4 = 28^2 + 8^3.
		

Links

• Lars Blomberg, Table of n, a(n) for n = 1..2241

Crossrefs

Cf. A242183, A242185, A242186.

Programs

Mathematica

(* after running the Mmca coding in A242183 *) k = 1; alst = {}; While[k < 6501, If[f@ k != {}, AppendTo[ alst, Table[#1, {1}] & @@@ f[k]]]; k++]; alst // Flatten (* Robert G. Wilson v, May 06 2014 *)

Formula

a = sqrt(c^4-b^3) is an integer.