cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A085482 Product of three solutions of the Diophantine equation x^2 - y^2 = z^3.

This page as a plain text file.
%I A085482 #15 Jul 31 2015 12:35:33
%S A085482 54,13824,354294,3538944,21093750,90699264,311299254,905969664,
%T A085482 2324522934,5400000000,11575379574,23219011584,44049458934,
%U A085482 79692609024,138396093750,231928233984,376690901814,595077871104,917112404214
%N A085482 Product of three solutions of the Diophantine equation x^2 - y^2 = z^3.
%C A085482 Parametric representation of the solution is (x,y,z) = (6n^3, 3n^3, 3n^2), thus getting a(n) = 54*n^8.
%H A085482 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9, -36, 84, -126, 126, -84, 36, -9, 1).
%F A085482 a(n) = 54*n^8.
%F A085482 a(1)=54, a(2)=13824, a(3)=354294, a(4)=3538944, a(5)=21093750, a(6)=90699264, a(7)=311299254, a(8)=905969664, a(9)=2324522934, a(n)=9*a(n-1)- 36*a(n-2)+ 84*a(n-3)- 126*a(n-4)+126*a(n-5)- 84*a(n-6)+ 36*a(n-7)-9*a(n-8)+a(n-9). - _Harvey P. Dale_, Jul 10 2013
%p A085482 A085482:=n->54*n^8; seq(A085482(n), n=1..50); # _Wesley Ivan Hurt_, Nov 26 2013
%t A085482 54*Range[20]^8 (* or *) LinearRecurrence[{9,-36,84,-126,126,-84,36,-9,1},{54,13824,354294,3538944,21093750,90699264,311299254,905969664,2324522934},20] (* _Harvey P. Dale_, Jul 10 2013 *)
%Y A085482 Cf. A085409.
%K A085482 nonn,easy
%O A085482 1,1
%A A085482 Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Aug 15 2003
%E A085482 More terms from _Ray Chandler_, Nov 06 2003