A120218 Start with 100103 and repeatedly reverse the digits and add 2 to get the next term.

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

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(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

• Klaus Brockhaus, Table of n, a(n) for n = 1..900
• N. J. A. Sloane and others, Sequences of RADD type, OEIS wiki.
• Index entries for linear recurrences with constant coefficients, order 900.

Crossrefs

Cf. A117521, A118514, A120214, A120215, A120216, A120217.

Programs

Mathematica

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