|
|
A126978
|
|
a(n) = 104*n + 9977.
|
|
5
|
|
|
9977, 10081, 10185, 10289, 10393, 10497, 10601, 10705, 10809, 10913, 11017, 11121, 11225, 11329, 11433, 11537, 11641, 11745, 11849, 11953, 12057, 12161, 12265, 12369, 12473, 12577, 12681, 12785, 12889, 12993, 13097, 13201, 13305, 13409, 13513, 13617
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
COMMENTS
|
Langton's Ant Superhighway, the start point (9977th iteration, J. Propp) and the period length for the Superhighway (104).
|
|
LINKS
|
James Propp, Further Ant-ics, Mathematical Intelligencer, 16 pp. 37-42, 1994.
|
|
FORMULA
|
a(0)=9977, a(1)=10081, a(n) = 2*a(n-1)-a(n-2). - Harvey P. Dale, Dec 16 2011
|
|
MATHEMATICA
|
104*Range[0, 40]+9977 (* or *) LinearRecurrence[{2, -1}, {9977, 10081}, 40] (* Harvey P. Dale, Dec 16 2011 *)
CoefficientList[Series[(9977 - 9873 x)/(1 - x)^2, {x, 0, 40}], x] (* Vincenzo Librandi, Sep 10 2015 *)
|
|
PROG
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|