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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.
4

%I #12 Jan 24 2019 12:03:19

%S 27,28,63,433,648,1176,1728,1792,2925,3807,4032,4500,4785,4941,6000,

%T 6083,6875,7203,7452,7902,8100,10000,10125,12005,13328,14703,15525,

%U 19683,20412,21266,26775,27712,32507,33750,35672,40572,40797,41328,41472,45927,49375

%N 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.

%H Lars Blomberg, <a href="/A242184/b242184.txt">Table of n, a(n) for n = 1..2241</a>

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

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

%t (* 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 *)

%Y Cf. A242183, A242185, A242186.

%K nonn

%O 1,1

%A _Lars Blomberg_, May 06 2014