The OEIS is supported by the many generous donors to the OEIS Foundation.
%I #19 Sep 21 2023 12:00:23
%S 1057,7503,3059,9505,5061,1607,7063,3609,9065,5611,1167,7613,3169,
%T 9615,5171,1717,7173,3719,9175,5721,1277,7723,3279,9725,5281,1827,
%U 7283,3829,9285,5831,1387,7833,3389,9835,5391,1937,7393,3939,9395,5941,1497,7943,3499,9945,5501
%N Start with 1057 and repeatedly reverse the digits and add 2 to get the next term.
%C 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(1057,2). 1057 is the first S for which T(S,2) reaches a cycle of length 45. The cycle is simply the first 45 terms, which then repeat. A full period is shown.
%H N. J. A. Sloane and others, <a href="/wiki/Sequences_of_RADD_type">Sequences of RADD type</a>, OEIS wiki.
%H <a href="/index/Rec#order_45">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).
%F a(n) = a(n-45). - _BoĊĦtjan Gec_, Sep 21 2023
%t NestList[IntegerReverse[#]+2&,1057,50] (* _Harvey P. Dale_, Jan 25 2021 *)
%Y Cf. A117521, A118514, A120214, A120216, A120217, A120218.
%K nonn,base
%O 1,1
%A _Klaus Brockhaus_, Jun 11 2006