A117830 Let S_m be the infinite sequence formed by starting with m and repeatedly reversing the digits and adding 4 to get the next term. For all m < 1015, S_m enters the cycle of length 54 whose terms are shown here.

5, 9, 13, 35, 57, 79, 101, 105, 505, 509, 909, 913, 323, 327, 727, 731, 141, 145, 545, 549, 949, 953, 363, 367, 767, 771, 181, 185, 585, 589, 989, 993, 403, 308, 807, 712, 221, 126, 625, 530, 39, 97, 83, 42, 28, 86, 72, 31, 17, 75, 61, 20, 6, 10, 5, 9, 13, 35, 57, 79, 101, 105, 505, 509, 909, 913, 323, 327, 727, 731, 141, 145

Offset

1,1

Comments

S_1015 is the first exception: this immediately enters the cycle of length 90 shown in A117807. - Klaus Brockhaus, May 05 2006

Except for the initial 1, identical to A117828.

Links

Table of n, a(n) for n=1..72.

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, 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).

Formula

a(n) = A117828(n+1). - M. F. Hasler, May 22 2014

Crossrefs

S_1 is given in A117828, S_3 in A117829. See also A117827, A117831, A117807.

Sequence in context: A180514 A118837 A117828 * A191219 A061516 A146135

Adjacent sequences: A117827 A117828 A117829 * A117831 A117832 A117833

Keyword

nonn,base

Author

Luc Stevens (lms022(AT)yahoo.com), Apr 06 2006

Extensions

Edited by N. J. A. Sloane, May 05 2006

Status

approved