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Search: id:A104459
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| A104459 |
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Possible differences between adjacent palindromes. |
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+0
2
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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
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Possible first differences of A002113.
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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.
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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 [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 26 2009]
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CROSSREFS
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Cf. A002113.
Sequence in context: A131096 A069263 A072545 this_sequence A008560 A101222 A079252
Adjacent sequences: A104456 A104457 A104458 this_sequence A104460 A104461 A104462
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KEYWORD
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base,easy,nonn
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AUTHOR
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David W. Wilson (davidwwilson(AT)comcast.net), Mar 08 2005
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