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Number of tilings of an 8 X n rectangle using integer-sided rectangular tiles of equal area.
2

%I #16 Sep 05 2021 19:13:42

%S 1,4,43,190,2401,15242,169952,1300180,13036591,108621208,1032057418,

%T 8944259474,82759543294,731238928631,6675861553591,59555740575193,

%U 540068620936576,4841141720468505,43752880978895078,393139794235777264,3547076584685999770

%N Number of tilings of an 8 X n rectangle using integer-sided rectangular tiles of equal area.

%C a(n+1)/a(n) tends to 9.00709752194696998983966861825826335610901... - _Vaclav Kotesovec_, Dec 25 2012

%H Alois P. Heinz and Vaclav Kotesovec, <a href="/A220774/b220774.txt">Table of n, a(n) for n = 0..431</a> (first 90 terms computed by Alois P. Heinz)

%e a(1) = 4:

%e ._. ._. ._. ._.

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%Y Column k=8 of A220777.

%K nonn

%O 0,2

%A _Alois P. Heinz_, Dec 19 2012