Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #6 Oct 13 2024 09:17:14
%S 1,21,441,9157,214689,5850115,158753814,4292655082
%N Number of ways to partition an n X 7 grid into 7 connected equal-area regions
%F a(n) = A167263(n,7). - _R. J. Mathar_, Oct 13 2024
%e Some solutions for n=4
%e ...1.1.1.2.3.3.3...1.2.2.2.3.3.4...1.1.1.1.2.2.3...1.2.2.2.2.3.4
%e ...1.4.4.2.2.5.3...1.2.5.5.5.3.4...4.4.4.4.5.2.3...1.5.6.6.3.3.4
%e ...6.6.4.4.2.5.5...1.6.6.6.5.3.4...6.7.7.7.5.2.3...1.5.6.6.7.3.4
%e ...6.6.7.7.7.7.5...1.6.7.7.7.7.4...6.6.6.7.5.5.3...1.5.5.7.7.7.4
%e ------
%e ...1.1.1.1.2.2.3...1.2.2.3.4.4.4...1.2.3.3.3.4.4...1.1.2.2.2.3.3
%e ...4.4.5.2.2.6.3...1.1.2.3.3.4.5...1.2.2.3.5.4.4...4.1.5.2.6.7.3
%e ...4.5.5.5.6.6.3...6.1.2.3.7.5.5...1.2.6.6.5.7.7...4.1.5.6.6.7.3
%e ...4.7.7.7.7.6.3...6.6.6.7.7.7.5...1.6.6.5.5.7.7...4.4.5.5.6.7.7
%e ------
%e ...1.1.1.2.3.4.4...1.1.1.1.2.3.3...1.2.2.3.4.5.5...1.1.1.2.2.3.3
%e ...5.1.2.2.3.6.4...4.4.2.2.2.5.3...1.2.2.3.4.5.5...1.4.2.2.5.5.3
%e ...5.5.5.2.3.6.4...4.6.6.6.6.5.3...1.1.6.3.4.7.7...6.4.4.4.5.5.3
%e ...7.7.7.7.3.6.6...4.7.7.7.7.5.5...6.6.6.3.4.7.7...6.6.6.7.7.7.7
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 31 2009