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A104459
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Possible differences between adjacent palindromes.
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3
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1, 2, 10, 11, 100, 110, 1000, 1100, 10000, 11000, 100000, 110000, 1000000, 1100000, 10000000, 11000000, 100000000, 110000000, 1000000000, 1100000000, 10000000000, 11000000000, 100000000000, 110000000000, 1000000000000, 1100000000000, 10000000000000
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OFFSET
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1,2
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COMMENTS
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Possible first differences of A002113.
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LINKS
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FORMULA
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a(n) = 2 if n = 2; 11*10^((n-4)/2) if n even >= 4; 10^((n-1)/2) if n odd.
a(n) = 10*a(n-2), starting 1,2,10,11.
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EXAMPLE
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536635 and 537735 are adjacent palindromes, so 537735-536635 = 1100 is in the sequence.
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MATHEMATICA
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PalindromeQ[n_]:=Reverse[IntegerDigits[n]]==IntegerDigits[n]; q=0; lst={}; Do[If[PalindromeQ[n], AppendTo[lst, n-q]; q=n], {n, 10!}]; Union@lst (* Vladimir Joseph Stephan Orlovsky, Oct 26 2009 *)
Flatten[Join[{1, 2}, Table[{10, 11}10^n, {n, 0, 15}]]] (* Harvey P. Dale, Dec 22 2012 *)
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CROSSREFS
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KEYWORD
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base,easy,nonn
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AUTHOR
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STATUS
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approved
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