A242185 Integers b which are the solution to the equation a^2 + b^3 = c^4, with integers a, b > 0, and indexed from A242183.

8, 18, 23, 36, 49, 108, 108, 126, 128, 135, 136, 143, 216, 225, 245, 288, 288, 300, 343, 368, 375, 400, 450, 500, 576, 588, 600, 648, 686, 693, 784, 900, 1026, 1098, 1125, 1156, 1183, 1215, 1350, 1350, 1440, 1458, 1568, 1628, 1638, 1681, 1728, 1728, 1863, 2000

Offset: 1

Author

Lars Blomberg, May 06 2014

Keywords

• nonn

Examples

			a(1)=8 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, A242184, A242186.

Programs

Mathematica

(* after running the Mmca coding in A242183 *) k = 1; blst = {}; While[k < 6501, If[f@ k != {}, AppendTo[ blst, Table[#2, {1}] & @@@ f[k]]]; k++]; blst // Flatten (* Robert G. Wilson v, May 06 2014 *)

Formula

b = (c^4 - a^2)^(1/3) is an integer.