A120216 Start with 100013 and repeatedly reverse the digits and add 2 to get the next term.

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

Klaus Brockhaus, Table of n, a(n) for n = 1..1890

N. J. A. Sloane and others, Sequences of RADD type, OEIS wiki.

Index entries for linear recurrences with constant coefficients, order 1890.

Mathematica

NestList[FromDigits[Reverse[IntegerDigits[#]]]+2&, 100013, 30] (* Harvey P. Dale, Oct 03 2014 *)

Crossrefs

Cf. A117521, A118514, A120214, A120215, A120217, A120218.

Sequence in context: A249854 A237233 A182040 * A119902 A182092 A249855

Adjacent sequences: A120213 A120214 A120215 * A120217 A120218 A120219

Keyword

nonn,base

Author

Klaus Brockhaus, Jun 11 2006

Status

approved