A175797 Size of the largest holes in the toothpick structure of A182840 after step n.

0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 12, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 48, 48, 35, 31, 27, 12, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 12, 12, 7, 3, 3, 3, 3

Offset

0,16

Comments

Each connected group of unoccupied lines in the hexagonal structure enclosed by toothpicks counts as a hole.

Links

Olaf Voß, Table of n, a(n) for n = 0..625

N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS

Olaf Voß, Toothpick structures on hexagonal net

Index entries for sequences related to toothpick sequences

Example

Structure after step 8:
      \_/
    \_/ \_/
  \_/ \_/ \_/
\_/  _/ \_  \_/
/ \_/ \_/ \_/ \
\_/ \_/ \_/ \_/
/ \ / \_/ \ / \
\_/ \_/ \_/ \_/
/ \_/ \_/ \_/ \
\_/ \_/ \_/ \_/
/ \_  \_/  _/ \
  / \_/ \_/ \
    / \_/ \
      / \
There are 6 holes in this structure, in each 1 toothpick is missing (size=1), so a(8)=1.

Crossrefs

For number of holes see A184408.

Sequence in context: A032552 A087717 A053444 * A358475 A379095 A335550

Adjacent sequences: A175794 A175795 A175796 * A175798 A175799 A175800

Keyword

nonn

Author

Olaf Voß, Jan 13 2011

Status

approved