Search: id:A029731
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%I A029731
%S A029731 0,1,2,3,4,5,6,7,8,9,11,353,626,787,979,1991,3003,39593,41514,90209,
%T A029731 94049,96369,98689,333333,512215,666666,749947,845548,1612161,2485842,
%U A029731 5614165,6487846,9616169,67433476,90999909,94355349,94544549,119919911
%N A029731 Palindromic in bases 10 and 16.
%H A029731 P. De Geest, <a href="http://www.worldofnumbers.com/nobase10.htm">Palindromic 
               numbers beyond base 10</a>
%t A029731 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, 16], AppendTo[l, 
               a]], {n, 20000}]; l (from Robert G. Wilson v Sep 03 2004)
%Y A029731 Cf. A007632, A007633, A029961, A029962, A029963, A029964, A029804, A029965, 
               A029966, A029967, A029968, A029969, A029970, A097855, A099165.
%Y A029731 Sequence in context: A029968 A097855 A029969 this_sequence A029970 A143265 
               A109841
%Y A029731 Adjacent sequences: A029728 A029729 A029730 this_sequence A029732 A029733 
               A029734
%K A029731 nonn,base
%O A029731 1,3
%A A029731 Patrick De Geest (pdg(AT)worldofnumbers.com)

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