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Search: id:A097855
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| A097855 |
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Palindromic in bases 10 and 17. |
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+0
13
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| 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 252, 494, 545, 767, 818, 989, 2882, 4554, 61416, 94249, 177771, 256652, 335533, 1388831, 4165614, 8837388, 31744713, 102757201, 103595301, 123616321, 124454421, 207535702, 208373802, 212313212, 229232922
(list; graph; listen)
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OFFSET
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1,2
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MATHEMATICA
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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]]]]]]]]; a = 0; Do[a = NextPalindrome[a]; s = IntegerDigits[a, 17]; If[ FromDigits[ Reverse[s]] == FromDigits[s], Print[a]], {n, 40000}] (from Robert G. Wilson v Sep 03 2004)
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, 17], AppendTo[l, a]], {n, 40000}]; l (from Robert G. Wilson v Sep 03 2004)
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CROSSREFS
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Cf. A007632, A007633, A029961, A029962, A029963, A029964, A029804, A029965, A029966, A029967, A029968, A029969, A029970, A029731, A099165.
Adjacent sequences: A097852 A097853 A097854 this_sequence A097856 A097857 A097858
Sequence in context: A117057 A029967 A029968 this_sequence A029969 A029731 A029970
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KEYWORD
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base,nonn
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AUTHOR
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Cino Hilliard (hillcino368(AT)gmail.com), Aug 31 2004
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 03 2004
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