cp's OEIS Frontend

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

%I A175797 #37 Jul 20 2019 13:55:39
%S A175797 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,
%T A175797 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,
%U A175797 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
%N A175797 Size of the largest holes in the toothpick structure of A182840 after step n.
%C A175797 Each connected group of unoccupied lines in the hexagonal structure enclosed by toothpicks counts as a hole.
%H A175797 Olaf Voß, <a href="/A175797/b175797.txt">Table of n, a(n) for n = 0..625</a>
%H A175797 N. J. A. Sloane, <a href="/wiki/Catalog_of_Toothpick_and_CA_Sequences_in_OEIS">Catalog of Toothpick and Cellular Automata Sequences in the OEIS</a>
%H A175797 Olaf Voß, <a href="/wiki/Toothpick_structures_on_hexagonal_net">Toothpick structures on hexagonal net</a>
%H A175797 <a href="/index/To#toothpick">Index entries for sequences related to toothpick sequences</a>
%e A175797 Structure after step 8:
%e A175797       \_/
%e A175797     \_/ \_/
%e A175797   \_/ \_/ \_/
%e A175797 \_/  _/ \_  \_/
%e A175797 / \_/ \_/ \_/ \
%e A175797 \_/ \_/ \_/ \_/
%e A175797 / \ / \_/ \ / \
%e A175797 \_/ \_/ \_/ \_/
%e A175797 / \_/ \_/ \_/ \
%e A175797 \_/ \_/ \_/ \_/
%e A175797 / \_  \_/  _/ \
%e A175797   / \_/ \_/ \
%e A175797     / \_/ \
%e A175797       / \
%e A175797 There are 6 holes in this structure, in each 1 toothpick is missing (size=1), so a(8)=1.
%Y A175797 For number of holes see A184408.
%K A175797 nonn
%O A175797 0,16
%A A175797 _Olaf Voß_, Jan 13 2011