Search: id:A029968
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%I A029968
%S A029968 0,1,2,3,4,5,6,7,8,9,11,222,313,353,444,575,666,797,1111,6776,8778,
%T A029968 24542,25452,26362,56265,311113,2377732,2713172,2832382,2906092,
%U A029968 8864688,10122101,13055031,20244202,20944902,23177132,23877832
%N A029968 Palindromic in bases 13 and 10.
%H A029968 P. De Geest, <a href="http://www.worldofnumbers.com/nobase10.htm">Palindromic 
               numbers beyond base 10</a>
%t A029968 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, 13], AppendTo[l, 
               a]], {n, 100000}]; l (from Robert G. Wilson v Sep 03 2004)
%Y A029968 Cf. A007632, A007633, A029961, A029962, A029963, A029964, A029804, A029965, 
               A029966, A029967, A029969, A029970, A029731, A097855, A099165.
%Y A029968 Sequence in context: A083136 A117057 A029967 this_sequence A097855 A029969 
               A029731
%Y A029968 Adjacent sequences: A029965 A029966 A029967 this_sequence A029969 A029970 
               A029971
%K A029968 nonn,base
%O A029968 1,3
%A A029968 Patrick De Geest (pdg(AT)worldofnumbers.com)

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