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

1,1

Links

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

Formula

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

Example

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

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 *)

Crossrefs

Cf. A242183, A242184, A242186.

Sequence in context: A279688 A178180 A269311 * A273527 A051810 A034055

Adjacent sequences: A242182 A242183 A242184 * A242186 A242187 A242188

Keyword

nonn

Author

Lars Blomberg, May 06 2014

Status

approved