Search: id:A029967
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%I A029967
%S A029967 0,1,2,3,4,5,6,7,8,9,11,181,555,616,676,737,797,1111,8008,35953,
%T A029967 43934,88888,646646,3192913,5641465,8364638,9963699,133373331,
%U A029967 139979931,293373392,520020025,713171317,796212697,1393223931
%N A029967 Palindromic in bases 12 and 10.
%H A029967 P. De Geest, <a href="http://www.worldofnumbers.com/nobase10.htm">Palindromic 
               numbers beyond base 10</a>
%t A029967 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, 12], AppendTo[l, 
               a]], {n, 400000}]; l (from Robert G. Wilson v Sep 30 2004)
%Y A029967 Cf. A007632, A007633, A029961, A029962, A029963, A029964, A029804, A029965, 
               A029966, A029968, A029969, A029970, A029731, A097855, A099165.
%Y A029967 Sequence in context: A064704 A083136 A117057 this_sequence A029968 A097855 
               A029969
%Y A029967 Adjacent sequences: A029964 A029965 A029966 this_sequence A029968 A029969 
               A029970
%K A029967 nonn,base
%O A029967 1,3
%A A029967 Patrick De Geest (pdg(AT)worldofnumbers.com)

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