|
|
A240735
|
|
Floor(6^n/(3+sqrt(3))^n).
|
|
10
|
|
|
1, 1, 1, 2, 2, 3, 4, 5, 6, 8, 10, 13, 17, 21, 27, 35, 44, 56, 71, 90, 115, 146, 185, 235, 298, 378, 479, 607, 770, 977, 1238, 1570, 1991, 2525, 3202, 4060, 5148, 6527, 8276, 10494, 13306, 16872, 21393, 27125, 34393, 43609, 55294, 70111, 88897, 112717, 142919
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,4
|
|
COMMENTS
|
a(n) is the perimeter (rounded down) of a dodecaflake after n iterations, let a(0) = 1. The total number of sides is 12*A000400(n). The total number of holes is A240846. 3 + sqrt(3) = A165663.
|
|
LINKS
|
|
|
MAPLE
|
|
|
MATHEMATICA
|
Table[Floor[6^n/(3 + Sqrt[3])^n], {n, 0, 50}] (* Wesley Ivan Hurt, Apr 12 2014 *)
|
|
PROG
|
(PARI) {a(n)=floor(6^n/(3+sqrt(3))^n)}
for (n=0, 100, print1(a(n), ", "))
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|