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%I #14 Jun 11 2015 06:18:57
%S 1,2,6,66,858,6006,222222,22444422,204042240402,2010020110200102,
%T 263312634436213362,205221063132933339231360122502
%N a(1) = 1, then squarefree palindromes such that a(n+1) = p*a(n) where p is a prime not dividing any previous term.
%e a(4) = 66, a(5) = 858 = 13*66.
%o (Python)
%o from sympy import factorint, nextprime
%o A082617_list, a = [1], 1
%o for _ in range(10):
%o ....p = 2
%o ....b = p*a
%o ....bs = str(b)
%o ....while bs != bs[::-1] or max(factorint(b).values()) > 1:
%o ........p = nextprime(p)
%o ........b = p*a
%o ........bs = str(b)
%o ....A082617_list.append(b)
%o ....a = b # _Chai Wah Wu_, Jun 09 2015
%Y Cf. A082618.
%K more,nonn,base
%O 1,2
%A _Amarnath Murthy_ and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Apr 29 2003
%E More terms from _R. J. Mathar_, Jul 15 2007
%E Corrected example by _Chai Wah Wu_, Jun 09 2015
%E a(12) from _Giovanni Resta_, Jun 11 2015