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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. 4

%I #14 Aug 01 2019 00:14:10

%S 8,18,23,36,49,108,108,126,128,135,136,143,216,225,245,288,288,300,

%T 343,368,375,400,450,500,576,588,600,648,686,693,784,900,1026,1098,

%U 1125,1156,1183,1215,1350,1350,1440,1458,1568,1628,1638,1681,1728,1728,1863,2000

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

%H Lars Blomberg, <a href="/A242185/b242185.txt">Table of n, a(n) for n = 1..2241</a>

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

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

%t (* 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 *)

%Y Cf. A242183, A242184, A242186.

%K nonn

%O 1,1

%A _Lars Blomberg_, May 06 2014

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Last modified April 23 13:11 EDT 2024. Contains 371913 sequences. (Running on oeis4.)