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

42, 804, 2688, 5886, 13392, 30618, 24648, 51456, 91224, 172032, 75090, 152880, 246870, 392160, 656250, 186732, 376704, 586116, 857088, 1270620, 1959552, 403494, 810768, 1240722, 1742496, 2410590, 3399984, 4941258, 786576, 1577472, 2394288, 3293184

Offset

1,1

Comments

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).

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Dario Alpern, List of first 1602 solutions to a^4 + b^3 = c^2 for increasing values of a, where gcd(a,b,c) = 1.

Dario Alpern, Sum of powers, a^4 + b^3 = c^2.

Henri Cohen, a^m + b^n = c^p (was: Sum of two powers = Square), post in the newsgroup sci.math.research, Jan 09 1998.

Mathematica

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

Prog

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

Crossrefs

Cf. A096741, A241924, A241925.

Sequence in context: A225980 A231164 A020933 * A231162 A290364 A030020

Adjacent sequences: A241920 A241921 A241922 * A241924 A241925 A241926

Keyword

nonn

Author

Vincenzo Librandi, May 02 2014

Status

approved