[go: up one dir, main page]

login
A006978
Successive states of the Rule 110 cellular automaton defined by 000, 001, 010, 011, ..., 111 -> 0,1,1,1,0,1,1,0 when started with a single ON cell.
(Formerly M2642)
7
1, 3, 7, 13, 31, 49, 115, 215, 509, 775, 1805, 3359, 7985, 12659, 29655, 54909, 130759, 197581, 460383, 855793, 2038675, 3227319, 7562237, 14149127, 33304077, 50625055, 118279729, 220060275, 523730647, 830325757, 1942439431, 3595423245, 8571017759, 12951092785
OFFSET
1,2
REFERENCES
Marc LeBrun, personal communication.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
FORMULA
a(n) = A117999(n-1)/2^(n-1). - Pontus von Brömssen, Oct 18 2022
MATHEMATICA
Map[FromDigits[#, 2] &, CellularAutomaton[110, {{1}, 0}, 30]] (* Ben Branman, Dec 28 2010 *)
CROSSREFS
Sequence in context: A161218 A351318 A068679 * A060424 A119962 A333877
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms from Eric W. Weisstein, Apr 11 2006
Definition clarified by N. J. A. Sloane, Oct 18 2022
STATUS
approved