Search: id:A029969
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%I A029969
%S A029969 0,1,2,3,4,5,6,7,8,9,11,323,464,717,858,999,1111,39593,59095,420024,
%T A029969 546645,9046409,9578759,9813189,535505535,564303465,595121595,
%U A029969 5736116375,6758008576,10476867401,11652825611,14203330241
%N A029969 Palindromic in bases 10 and 14.
%H A029969 P. De Geest, <a href="http://www.worldofnumbers.com/nobase10.htm">Palindromic 
               numbers beyond base 10</a>
%t A029969 NextPalindrome[n_] := Block[{l = Floor[ Log[10, n] + 1], idn = IntegerDigits[n]}, 
               If[ Union[idn] == {9}, Return[n + 2], If[l < 2, Return[n + 1], If[ 
               FromDigits[ Reverse[ Take[idn, Ceiling[l/2]] ]] FromDigits[ Take[idn, 
               -Ceiling[l/2]]], FromDigits[ Join[ Take[idn, Ceiling[l/2]], Reverse[ 
               Take[idn, Floor[l/2]] ]]], idfhn = FromDigits[ Take[idn, Ceiling[l/
               2]]] + 1; idp = FromDigits[ Join[ IntegerDigits[idfhn], Drop[ Reverse[ 
               IntegerDigits[idfhn]], Mod[l, 2]] ]]] ]]]; palQ[n_Integer, base_Integer] 
               := Block[{idn = IntegerDigits[n, base]}, idn == Reverse[idn]]; l 
               = {0}; a = 0; Do[a = NextPalindrome[a]; If[ palQ[a, 14], AppendTo[l, 
               a]], {n, 300000}]; l (from Robert G. Wilson v Sep 03 2004)
%Y A029969 Cf. A007632, A007633, A029961, A029962, A029963, A029964, A029804, A029965, 
               A029966, A029967, A029968, A029970, A029731, A097855, A099165.
%Y A029969 Sequence in context: A029967 A029968 A097855 this_sequence A029731 A029970 
               A143265
%Y A029969 Adjacent sequences: A029966 A029967 A029968 this_sequence A029970 A029971 
               A029972
%K A029969 nonn,base
%O A029969 1,3
%A A029969 Patrick De Geest (pdg(AT)worldofnumbers.com)

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