OFFSET
0,5
COMMENTS
The Gosper island curve bounds the space filled by the Peano-Gosper curve. The length of Peano-Gosper curve after n iterations (rounded to the nearest integer) is A017926(n) and the total number of elements is A000420(n). See illustration in links.
The sequence expansion ratio (a(n)/a(n-1)) is 1.133893419... which is 3*A020764.
LINKS
Kival Ngaokrajang, Illustration of initial terms
Eric Weisstein's World of Mathematics, Gosper Island
FORMULA
a(n) = round((3/sqrt(7))^n).
CROSSREFS
KEYWORD
nonn
AUTHOR
Kival Ngaokrajang, Oct 05 2013
STATUS
approved