|
Search: id:A160802
|
|
|
| A160802 |
|
Toothpick sequence in Fibonacci spiral (see Comments lines for definition). |
|
+0
5
|
|
| 0, 1, 3, 7, 11, 15, 21, 25, 28, 30, 33, 37, 38
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
On the infinite square grid we draw a Fibonacci spiral starting with 3,3,6,9,15,24,... (Note that each edge has length = A000045(k)*3, for k>0). We start at stage 0 with no toothpicks. At stage 1 we place a toothpick of length 2 in a orthogonal direction, in the center of the Fibonacci spiral. At stage 2 we place 2 toothpicks. And so on...
The sequence gives the number of toothpicks in the Fibonacci spiral after n stages. A160803 (the first differences) gives the number added at the n-th stage. See A160800 and A139250 for more information about toothpick sequences.
|
|
CROSSREFS
|
Cf. A000045, A139250, A139251, A160426, A160427, A160800, A160801, A160803.
Sequence in context: A079422 A022797 A109507 this_sequence A163094 A022800 A071849
Adjacent sequences: A160799 A160800 A160801 this_sequence A160803 A160804 A160805
|
|
KEYWORD
|
hard,more,nonn
|
|
AUTHOR
|
Omar E. Pol (info(AT)polprimos.com), May 26 2009
|
|
|
Search completed in 0.002 seconds
|
