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%I #10 Oct 02 2015 13:05:52
%S 30103,333010333,33330103333,9333301033339,12933330103333921,
%T 121293333010333392121,3812129333301033339212183,
%U 15381212933330103333921218351,101538121293333010333392121835101,3910153812129333301033339212183510193
%N Minimal nested palindromic primes with seed 010.
%C 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 having a(n-1) in the middle. Then (a(n)) is the sequence of minimal nested palindromic primes with seed s. (For A260459, the seed is not an integer, so that the offset is 2.)
%e As a triangle:
%e 010
%e 30103
%e 333010333
%e 33330103333
%e 9333301033339
%e 12933330103333921
%e 121293333010333392121
%e 3812129333301033339212183
%t s0 = "010"; s = {ToExpression[s0]};Do[NestWhile[# + 1 &, 1, ! PrimeQ[tmp = FromDigits[Join[#, IntegerDigits[Last[s], 10, Max[StringLength[s0],Length[IntegerDigits[Last[s]]]]], Reverse[#]]&[IntegerDigits[#]]]] &]; AppendTo[s, tmp], {10}]; s0 <> ", " <> StringTake[ToString[Rest[s]], {2, -2}]
%t (* _Peter J. C. Moses_, Sep 23 2015 *)
%Y Cf. A261881.
%K nonn,base,easy
%O 2,1
%A _Clark Kimberling_, Sep 24 2015
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