Search: id:A029964
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%I A029964
%S A029964 0,1,2,3,4,5,6,8,121,171,242,292,16561,65656,2137312,4602064,
%T A029964 6597956,6958596,9470749,61255216,230474032,466828664,485494584,
%U A029964 638828836,657494756,858474858,25699499652,40130703104,45862226854
%N A029964 Palindromic in bases 7 and 10.
%H A029964 P. De Geest, <a href="http://www.worldofnumbers.com/nobase10.htm">Palindromic 
               numbers beyond base 10</a>
%t A029964 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, 7], AppendTo[l, 
               a]], {n, 2000000}]; l (from Robert G. Wilson v Sep 30 2004)
%Y A029964 Cf. A007632, A007633, A029804, A029961, A029962, A029963, A029965, A029966, 
               A029967, A029968, A029969, A029970.
%Y A029964 Sequence in context: A081710 A128421 A115885 this_sequence A141655 A099004 
               A055170
%Y A029964 Adjacent sequences: A029961 A029962 A029963 this_sequence A029965 A029966 
               A029967
%K A029964 nonn,base
%O A029964 1,3
%A A029964 Patrick De Geest (pdg(AT)worldofnumbers.com)

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