A120217 Start with 100057 and repeatedly reverse the digits and add 2 to get the next term.

100057, 750003, 300059, 950005, 500061, 160007, 700063, 360009, 900065, 560011, 110067, 760013, 310069, 960015, 510071, 170017, 710073, 370019, 910075, 570021, 120077, 770023, 320079, 970025, 520081, 180027, 720083, 380029, 920085, 580031, 130087, 780033, 330089

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(100057,2). 100057 is the first S for which T(S,2) reaches a cycle of length 945. The cycle is simply the first 945 terms, which then repeat. A full period is given in the table.

Links

Klaus Brockhaus, Table of n, a(n) for n = 1..945

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

Index entries for periodic sequences.

Index entries for linear recurrences with constant coefficients, order 945.

Mathematica

NestList[IntegerReverse[#] + 2 &, 100057, 35] (* Paolo Xausa, May 19 2026 *)

Crossrefs

Cf. A117521, A118514, A120214, A120215, A120216, A120218.

Sequence in context: A119902 A182092 A249855 * A120218 A365375 A235901

Adjacent sequences: A120214 A120215 A120216 * A120218 A120219 A120220

Keyword

nonn,base,less,easy

Author

Klaus Brockhaus, Jun 11 2006

Status

approved