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A262659 Minimal nested palindromic base-8 primes with seed 0; see Comments.

%I A262659 #6 Oct 31 2015 15:11:32
%S A262659 0,13031,511303115,3351130311533,333511303115333,1033351130311533301,
%T A262659 1051033351130311533301501,35105103335113031153330150153,
%U A262659 12135105103335113031153330150153121,12012135105103335113031153330150153121021,331201213510510333511303115333015015312102133
%N A262659 Minimal nested palindromic base-8 primes with seed 0; see Comments.
%C A262659 Using only base-8 digits 0,1,2,3,4,5,6,7 let s be a palindrome and put a(1) = s. Let a(2) be the least palindromic prime having s in the middle; for n > 2, let a(n) be the least palindromic prime have a(n-1) in the middle. Then (a(n)) is the sequence of minimal nested palindromic base-8 primes with seed s.
%H A262659 Clark Kimberling, <a href="/A262659/b262659.txt">Table of n, a(n) for n = 1..300</a>
%e A262659 a(3) = 511303115 is the least base-8 prime having a(2) = 13031 in its middle. Triangular format:
%e A262659          0
%e A262659        13031
%e A262659      511303115
%e A262659    3351130311533
%e A262659   333511303115333
%e A262659 1033351130311533301
%t A262659 s = {0}; base = 8; z = 20; Do[NestWhile[# + 1 &, 1, ! PrimeQ[tmp = FromDigits[Join[#, IntegerDigits[Last[s]], Reverse[#]] &[IntegerDigits[#, base]], base]] &];
%t A262659 AppendTo[s, FromDigits[IntegerDigits[tmp, base]]], {z}]; s  (* A262659 *)
%t A262659 Map[FromDigits[ToString[#], base] &, s]  (* A262660 *)
%t A262659 (* _Peter J. C. Moses_, Sep 01 2015 *)
%Y A262659 Cf. A261881 (base 10), A262660, A262627.
%K A262659 nonn,easy,base
%O A262659 1,2
%A A262659 _Clark Kimberling_, Oct 27 2015