

A120218


Start with 100103 and repeatedly reverse the digits and add 2 to get the next term.


6



100103, 301003, 300105, 501005, 500107, 701007, 700109, 901009, 900111, 111011, 110113, 311013, 310115, 511015, 510117, 711017, 710119, 911019, 910121, 121021, 120123, 321023, 320125, 521025, 520127, 721027, 720129, 921029, 920131, 131031
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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(100103,2). 100103 is the first S for which T(S,2) reaches a cycle of length 900. The cycle is simply the first 900 terms, which then repeat. A full period is given in the table.


LINKS



MATHEMATICA

NestList[FromDigits[Reverse[IntegerDigits[#]]]+2&, 100103, 30] (* Harvey P. Dale, Aug 14 2012 *)


CROSSREFS



KEYWORD

nonn,base


AUTHOR



STATUS

approved



