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A120216
Start with 100013 and repeatedly reverse the digits and add 2 to get the next term.
6
100013, 310003, 300015, 510005, 500017, 710007, 700019, 910009, 900021, 120011, 110023, 320013, 310025, 520015, 510027, 720017, 710029, 920019, 910031, 130021, 120033, 330023, 320035, 530025, 520037, 730027, 720039, 930029, 920041, 140031
OFFSET
1,1
COMMENTS
Let T(S,Q) be the sequence obtained by starting with S and repeatedly reversing the digits and adding Q to get the next term. This is T(100013,2). 100013 is the first S for which T(S,2) reaches a cycle of length 1890. The cycle is simply the first 1890 terms, which then repeat. A full period is given in the table.
LINKS
MATHEMATICA
NestList[FromDigits[Reverse[IntegerDigits[#]]]+2&, 100013, 30] (* Harvey P. Dale, Oct 03 2014 *)
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Klaus Brockhaus, Jun 11 2006
STATUS
approved