Search: id:A029970
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%I A029970
%S A029970 0,1,2,3,4,5,6,7,8,9,11,828,858,888,919,949,979,1551,2772,23632,
%T A029970 25552,60106,67576,465564,477774,489984,515515,527725,17577571,
%U A029970 26144162,28300382,39399393,47999974,69455496,2118008112,8050880508
%N A029970 Palindromic in bases 10 and 15.
%H A029970 P. De Geest, <a href="http://www.worldofnumbers.com/nobase10.htm">Palindromic 
               numbers beyond base 10</a>
%t A029970 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, 15], AppendTo[l, 
               a]], {n, 200000}]; l (from Robert G. Wilson v Sep 03 2004)
%Y A029970 Cf. A007632, A007633, A029961, A029962, A029963, A029964, A029804, A029965, 
               A029966, A029967, A029968, A029969, A029731, A097855, A099165.
%Y A029970 Sequence in context: A097855 A029969 A029731 this_sequence A143265 A109841 
               A163807
%Y A029970 Adjacent sequences: A029967 A029968 A029969 this_sequence A029971 A029972 
               A029973
%K A029970 nonn,base
%O A029970 1,3
%A A029970 Patrick De Geest (pdg(AT)worldofnumbers.com)

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