%I
%S 728,93184,1592136,11927552,56875000,203793408,599539304,1526726656,
%T 3482001432,7280000000,14186660488,26085556224,45680920376,
%U 76741030912,124385625000,195421011968,298726553944,445696183296,650738625992
%N Product of three solutions of the Diophantine equation x^3  y^3 = z^2.
%C Parametric representation of the solution is (x,y,z) = (8n^2, 7n^2, 13n^3), thus getting a(n) = 728*n^7.
%H Harvey P. Dale, <a href="/A085479/b085479.txt">Table of n, a(n) for n = 1..1000</a>
%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8,28,56,70,56,28,8,1).
%F a(n) = 728*n^7.
%F From _Colin Barker_, Oct 25 2019: (Start)
%F G.f.: 728*x*(1 + 120*x + 1191*x^2 + 2416*x^3 + 1191*x^4 + 120*x^5 + x^6) / (1  x)^8.
%F a(n) = 8*a(n1)  28*a(n2) + 56*a(n3)  70*a(n4) + 56*a(n5)  28*a(n6) + 8*a(n7)  a(n8) for n>8.
%F (End)
%t 728*Range[20]^7 (* _Harvey P. Dale_, May 27 2012 *)
%o (PARI) Vec(728*x*(1 + 120*x + 1191*x^2 + 2416*x^3 + 1191*x^4 + 120*x^5 + x^6) / (1  x)^8 + O(x^25)) \\ _Colin Barker_, Oct 25 2019
%Y Cf. A001015 (n^7), A085377.
%K nonn,easy
%O 1,1
%A Jun Mizuki (suzuki32(AT)sanken.osakau.ac.jp), Aug 15 2003
%E More terms from _Matthew Conroy_, Jan 16 2006
