A241925 (4*s^4 - 3*t^4)*(16*s^8 + 408*s^4*t^4 + 9*t^8), where s > 0, t = 1..s.

433, 648613, 1773568, 44308593, 175549248, 230113953, 1177246693, 2656718848, 7472540053, 7264534528, 16243007473, 25334809408, 60857858593, 124911535168, 105712890625, 141973041573, 181487996928, 344699541333, 719049719808, 1194117112629, 942546751488

Offset

1,1

Comments

Sequence lists, in nonincreasing order, the z-values in special solutions to x^4 + y^3 = z^2, that is: A241923(n)^4 + A241924(n)^3 = a(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[(4 s^4 - 3 t^4) (16 s^8 + 408 s^4 t^4 + 9 t^8), {s, 10}, {t, s}]]

Prog

(Magma) [(4*s^4-3*t^4)*(16*s^8+408*s^4*t^4+9*t^8): t in [1..s], s in [1..10]];

Crossrefs

Cf. A096741, A241923, A241924.

Sequence in context: A059664 A289857 A198450 * A108832 A055009 A054982

Adjacent sequences: A241922 A241923 A241924 * A241926 A241927 A241928

Keyword

nonn

Author

Vincenzo Librandi, May 02 2014

Status

approved