|
|
A339739
|
|
a(n) gives the number of squares in the n-th iteration of the Harter-Heighway dragon.
|
|
0
|
|
|
0, 0, 0, 1, 4, 11, 30, 78, 205, 546, 1455, 4062, 11192, 31889, 88487, 254594
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,5
|
|
COMMENTS
|
|
|
LINKS
|
|
|
EXAMPLE
|
For n = 5, the fifth iteration of the Harter-Heighway dragon has a(5) = 4 squares, as illustrated below. All of the squares are 1 X 1.
*---*
| |
*---* *
|
*---*
|
*---*---* *---* *---*
| | | | | | |
*---* *---*---*---* *---*
| | |
*---*---* *---*
| |
*---*
For n = 7, the seventh iteration of the Harter-Heighway dragon has a(7) = 30 squares, as illustrated below. It contains A003230(7) = 28 1 X 1 squares and two 2 X 2 squares.
_ _
|_|_| |_
_ _| _|
|_|_|_
|_|_|
|_ _ _ _
_ _|_|_| _|_| _|_|
|_|_|_|_|_ _|_|_ _|_|_ _
|_| |_| |_|_|_|_|_| |_| |_|_|
|_|_|_|_ |_
_ _|_| |_| _|
|_|_|_|_ |_|
|_| |_|
|
|
CROSSREFS
|
A003230 gives the number of 1 X 1 squares.
|
|
KEYWORD
|
nonn,more
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|