|
|
A085479
|
|
Product of three solutions of the Diophantine equation x^3 - y^3 = z^2.
|
|
2
|
|
|
728, 93184, 1592136, 11927552, 56875000, 203793408, 599539304, 1526726656, 3482001432, 7280000000, 14186660488, 26085556224, 45680920376, 76741030912, 124385625000, 195421011968, 298726553944, 445696183296, 650738625992
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Parametric representation of the solution is (x,y,z) = (8n^2, 7n^2, 13n^3), thus getting a(n) = 728*n^7.
|
|
LINKS
|
Harvey P. Dale, Table of n, a(n) for n = 1..1000
|
|
FORMULA
|
a(n) = 728*n^7.
|
|
MATHEMATICA
|
728*Range[20]^7 (* Harvey P. Dale, May 27 2012 *)
|
|
CROSSREFS
|
Cf. A085377.
Sequence in context: A203665 A203913 A203909 * A203664 A050790 A214106
Adjacent sequences: A085476 A085477 A085478 * A085480 A085481 A085482
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Aug 15 2003
|
|
EXTENSIONS
|
More terms from Matthew Conroy, Jan 16 2006
|
|
STATUS
|
approved
|
|
|
|