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Begin with 1 and then smallest number not included earlier such that a(n)*a(n+1) -1 is a cube.
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%I #5 Dec 05 2013 19:56:13

%S 1,2,14,9,57,2193,3059049,646785,14861988225,4007948400041,

%T 227329891050248477628633,253359999446098770547643849168025163162993,

%U 294907355674806113726323566850834771401836431259814899322458665187277652242833

%N Begin with 1 and then smallest number not included earlier such that a(n)*a(n+1) -1 is a cube.

%C Sequence is infinite. a(n+1) <= {(a(n) - 1)^3 + 1}/a(n).

%Y Cf. A082607, A082608, A082610.

%Y Cf. A083203.

%K nonn

%O 0,2

%A _Amarnath Murthy_, Apr 28 2003

%E Corrected and extended by _David Wasserman_, Oct 18 2004