OFFSET
0,1
COMMENTS
Row n has length 2n+1.
Even rows r sum to r/2 + 1, odd rows r sum to 3r to produce the sequence {1, 3, 2, 6, 3, 9, 4, 12, ...} = A064455(n + 1). - Michael De Vlieger, Oct 07 2015
REFERENCES
S. Wolfram, A New Kind of Science, Wolfram Media, 2002; Chapter 3.
LINKS
Michael De Vlieger, Table of n, a(n) for n = 0..10000
Michael De Vlieger, Visualization of rows 0 - 31 of Rule 54
S. Wolfram, Statistical mechanics of cellular automata, Rev. Mod. Phys., 55 (1983), 601--644.
S. Wolfram, A New Kind of Science
EXAMPLE
From Michael De Vlieger, Oct 07 2015: (Start)
First 12 rows, replacing "0" with "." for better visibility of ON cells:
1
1 1 1
1 . . . 1
1 1 1 . 1 1 1
1 . . . 1 . . . 1
1 1 1 . 1 1 1 . 1 1 1
1 . . . 1 . . . 1 . . . 1
1 1 1 . 1 1 1 . 1 1 1 . 1 1 1
1 . . . 1 . . . 1 . . . 1 . . . 1
1 1 1 . 1 1 1 . 1 1 1 . 1 1 1 . 1 1 1
1 . . . 1 . . . 1 . . . 1 . . . 1 . . . 1
1 1 1 . 1 1 1 . 1 1 1 . 1 1 1 . 1 1 1 . 1 1 1
1 . . . 1 . . . 1 . . . 1 . . . 1 . . . 1 . . . 1
(End)
MATHEMATICA
clip[lst_] := Block[{p = Flatten@ Position[lst, 1]}, Take[lst, {Min@ p, Max@ p}]]; clip /@ CellularAutomaton[54, {{1}, 0}, 8] // Flatten (* Michael De Vlieger, Oct 07 2015 *)
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Hans Havermann, May 26 2002
EXTENSIONS
Corrected by Hans Havermann, Jan 07 2012
STATUS
approved