Search: id:A029962
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%I A029962
%S A029962 0,1,2,3,4,6,88,252,282,626,676,1221,15751,18881,10088001,10400401,
%T A029962 27711772,30322303,47633674,65977956,808656808,831333138,831868138,
%U A029962 836131638,836181638,2512882152,2596886952,2893553982,6761551676
%N A029962 Palindromic in bases 5 and 10.
%H A029962 P. De Geest, <a href="http://www.worldofnumbers.com/nobase10.htm">Palindromic 
               numbers beyond base 10</a>
%t A029962 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, 5], AppendTo[l, 
               a]], {n, 200000}]; l (from Robert G. Wilson v Sep 30 2004)
%Y A029962 Cf. A007632, A007633, A029961, A029963, A029964, A029965, A029966, A029967, 
               A029968, A029969, A029970.
%Y A029962 Sequence in context: A051856 A084811 A135236 this_sequence A021903 A058315 
               A072717
%Y A029962 Adjacent sequences: A029959 A029960 A029961 this_sequence A029963 A029964 
               A029965
%K A029962 nonn,base
%O A029962 1,3
%A A029962 Patrick De Geest (pdg(AT)worldofnumbers.com)

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