A118607 Start with 1 and repeatedly reverse the digits and add 18 to get the next term.

1, 19, 109, 919, 937, 757, 775, 595, 613, 334, 451, 172, 289, 1000, 19, 109, 919, 937, 757, 775, 595, 613, 334, 451, 172, 289, 1000, 19, 109, 919, 937, 757, 775, 595, 613, 334, 451, 172, 289, 1000, 19, 109, 919, 937, 757, 775, 595, 613, 334, 451, 172, 289

Offset: 1

Author

Luc Stevens (lms022(AT)yahoo.com), May 08 2006

Keywords

• base
• nonn

Comments

After 1 step enters a cycle of length 13.

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000
• N. J. A. Sloane and others, Sequences of RADD type, OEIS wiki.
• Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Crossrefs

Cf. A117828, A117816, A117817.

Programs

Mathematica

NestList[IntegerReverse[#]+18&,1,60] (* or *) PadRight[{1},120,{1000,19,109,919,937,757,775,595,613,334,451,172,289}] (* Harvey P. Dale, Feb 19 2023 *)

Formula

a(n) = a(n-13) for n >= 15. - Wesley Ivan Hurt, Sep 04 2022