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

Author

Klaus Brockhaus, Jun 11 2006

Keywords

• nonn
• base

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.

Crossrefs

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

Programs

Mathematica

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