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%I #9 Oct 02 2015 13:09:37
%S 19000000091,1190000000911,36119000000091163,953611900000009116359,
%T 9095361190000000911635909,790953611900000009116359097,
%U 1479095361190000000911635909741,72147909536119000000091163590974127,10572147909536119000000091163590974127501
%N Minimal nested palindromic primes with seed 0000000.
%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 A260444, the seed is not an integer, so that the offset is 2.)
%H Clark Kimberling, <a href="/A262533/b262533.txt">Table of n, a(n) for n = 2..200</a>
%e As a triangle:
%e 0000000
%e 19000000091
%e 1190000000911
%e 36119000000091163
%e 953611900000009116359
%e 9095361190000000911635909
%e 790953611900000009116359097
%t s0 = "0000000"; 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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