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a(n) is the first cube root greater than 10^n such that a(n)^3 is a palfree cube (palfree = contains no palindromic substring except single digits).
2

%I #9 Oct 17 2019 22:16:07

%S 12,102,1008,10091,100698,1007059,10069605,100695969,1006958659,

%T 10069585741,100695847434,1006958474563,10069584743393,

%U 100695847434688,1006958474332019,10069584743315203

%N a(n) is the first cube root greater than 10^n such that a(n)^3 is a palfree cube (palfree = contains no palindromic substring except single digits).

%C Probably finite.

%H Keith Schneider, <a href="/A052067/b052067.txt">Table of n, a(n) for n = 1..25</a>

%H Keith Schneider, <a href="/A052065/a052065.txt">Mathematica code for A052025-A052028</a>

%Y Cf. A052068, A052063, A052064.

%K nonn,base

%O 1,1

%A _Patrick De Geest_, Jan 15 2000

%E More terms from Keith Schneider (schneidk(AT)email.unc.edu), May 23 2007