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

1,2

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 periodic sequences, period 13.

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

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

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 *)

Prog

(PARI) a(n)=if(n>1, 174531713779050249325533374699815341970\1001^(n%13)%1001, 1) \\ Charles R Greathouse IV, Jun 02 2026

Crossrefs

Cf. A117828, A117816, A117817.

Sequence in context: A184056 A280628 A191566 * A380253 A144246 A281170

Adjacent sequences: A118604 A118605 A118606 * A118608 A118609 A118610

Keyword

base,nonn,easy,changed

Author

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

Status

approved