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.
%I A082609 #5 Dec 05 2013 19:56:13
%S A082609 1,2,14,9,57,2193,3059049,646785,14861988225,4007948400041,
%T A082609 227329891050248477628633,253359999446098770547643849168025163162993,
%U A082609 294907355674806113726323566850834771401836431259814899322458665187277652242833
%N A082609 Begin with 1 and then smallest number not included earlier such that a(n)*a(n+1) -1 is a cube.
%C A082609 Sequence is infinite. a(n+1) <= {(a(n) - 1)^3 + 1}/a(n).
%Y A082609 Cf. A082607, A082608, A082610.
%Y A082609 Cf. A083203.
%K A082609 nonn
%O A082609 0,2
%A A082609 _Amarnath Murthy_, Apr 28 2003
%E A082609 Corrected and extended by _David Wasserman_, Oct 18 2004