|
Search: id:A066710
|
|
|
| A066710 |
|
RATS: Reverse Add Then Sort the digits applied to previous term, starting with 3. |
|
+0
7
|
|
| 3, 6, 12, 33, 66, 123, 444, 888, 1677, 3489, 12333, 44556, 111, 222, 444, 888, 1677, 3489, 12333, 44556, 111, 222, 444, 888, 1677, 3489, 12333, 44556, 111, 222, 444, 888, 1677, 3489, 12333, 44556, 111, 222, 444, 888, 1677, 3489, 12333
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
REFERENCES
|
R. K. Guy, Conway's RATS and other reversals, Amer. Math. Monthly, 96 (1989), 425-428.
|
|
FORMULA
|
Let a(n) = k, form m by Reversing the digits of k, Add m to k Then Sort the digits of the sum into increasing order to get a(n+1).
Periodic with period 8.
|
|
EXAMPLE
|
668 -> 668 + 866 = 1534 -> 1345.
|
|
CROSSREFS
|
Cf. A004000, A036839, A066711.
Sequence in context: A049941 A061056 A026079 this_sequence A033648 A102972 A075209
Adjacent sequences: A066707 A066708 A066709 this_sequence A066711 A066712 A066713
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Jan 19 2002
|
|
|
Search completed in 0.002 seconds
|
