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A241923 6*s*t*(4*s^4 + 3*t^4), where s > 0, t = 1..s. 3

%I

%S 42,804,2688,5886,13392,30618,24648,51456,91224,172032,75090,152880,

%T 246870,392160,656250,186732,376704,586116,857088,1270620,1959552,

%U 403494,810768,1240722,1742496,2410590,3399984,4941258,786576,1577472,2394288,3293184

%N 6*s*t*(4*s^4 + 3*t^4), where s > 0, t = 1..s.

%C Sequence lists, in nonincreasing order, the x-values in special solutions to x^4 + y^3 = z^2, that is: a(n)^4 + A241924(n)^3 = A241925(n)^2 (see also Cohen's post in Links section).

%H Vincenzo Librandi, <a href="/A241923/b241923.txt">Table of n, a(n) for n = 1..1000</a>

%H D. Alpern, <a href="http://www.alpertron.com.ar/SPOW432.HTM">List of first 1602 solutions to a^4 + b^3 = c^2 for increasing values of a, where gcd(a,b,c) = 1</a>.

%H D. Alpern, Sum of powers, <a href="http://www.alpertron.com.ar/SUMPOWER.HTM#P4_3_2">a^4 + b^3 = c^2</a>.

%H H. Cohen, <a href="http://mathforum.org/kb/thread.jspa?forumID=253&amp;threadID=557612&amp;messageID=1674064#1674064">a^m + b^n = c^p (was: Sum of two powers = Square)</a>, Sci.Math.Research posting to Jan 09 1998.

%t Flatten[Table[6 s t (4 s^4 + 3 t^4), {s, 10}, {t, s}]]

%o (MAGMA) [6*s*t*(4*s^4+3*t^4): t in [1..s], s in [1..10]];

%Y Cf. A096741, A241924, A241925.

%K nonn

%O 1,1

%A _Vincenzo Librandi_, May 02 2014

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Last modified February 20 21:29 EST 2019. Contains 320350 sequences. (Running on oeis4.)