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A175797 Size of the largest holes in the toothpick structure of A182840 after step n. 1
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 (list; graph; refs; listen; history; text; internal format)
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, Visualisation of the structure

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 * A243129 A135717 A079083

Adjacent sequences:  A175794 A175795 A175796 * A175798 A175799 A175800

KEYWORD

nonn

AUTHOR

Olaf Voß, Jan 13 2011

STATUS

approved

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Last modified March 26 23:16 EDT 2019. Contains 321566 sequences. (Running on oeis4.)