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

1,1

Links

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

Formula

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

Example

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

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 *)

Crossrefs

Cf. A242183, A242185, A242186.

Sequence in context: A042460 A042458 A141490 * A042482 A042484 A042480

Adjacent sequences: A242181 A242182 A242183 * A242185 A242186 A242187

Keyword

nonn

Author

Lars Blomberg, May 06 2014

Status

approved