Search: id:A029965
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%I A029965
%S A029965 0,1,2,3,4,5,6,7,8,191,282,373,464,555,646,656,6886,25752,27472,
%T A029965 42324,50605,626626,1540451,1713171,1721271,1828281,1877781,1885881,
%U A029965 2401042,2434342,2442442,2450542,3106013,3114113,3122213,3163613
%N A029965 Palindromic in bases 9 and 10.
%H A029965 P. De Geest, <a href="http://www.worldofnumbers.com/nobase10.htm">Palindromic 
               numbers beyond base 10</a>
%t A029965 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, 9], AppendTo[l, 
               a]], {n, 10000}]; l (from Robert G. Wilson v Sep 30 2004)
%Y A029965 Cf. A007632, A007633, A029961, A029962, A029963, A029964, A029804, A029966, 
               A029967, A029968, A029969, A029970, A029731, A097855, A099165.
%Y A029965 Sequence in context: A037336 A037443 A073790 this_sequence A004881 A004892 
               A004903
%Y A029965 Adjacent sequences: A029962 A029963 A029964 this_sequence A029966 A029967 
               A029968
%K A029965 nonn,base
%O A029965 1,3
%A A029965 Patrick De Geest (pdg(AT)worldofnumbers.com)

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