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Number of tilings of a 4 X 5n rectangle with 4n pentominoes of any shape.
2

%I #11 Feb 07 2017 17:28:17

%S 1,501,890989,1666772813,3125064284901,5859766228545967,

%T 10987595369808657169,20602741350971679371521,

%U 38632014757792375332001835,72438542874037975287077565935,135828859204452470219311220073385,254691470323770059993623356733063003

%N Number of tilings of a 4 X 5n rectangle with 4n pentominoes of any shape.

%H Alois P. Heinz, <a href="/A233429/b233429.txt">Table of n, a(n) for n = 0..100</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Pentomino">Pentomino</a>

%F a(n) ~ c * d^n, where d = 1875.09099182186211660253860201132854810972459605757360689785461004..., c = 0.25279505771792803447854701369537504374767224177480509542292622525... . - _Vaclav Kotesovec_, Mar 05 2016

%Y Quintisection of column k=4 of A233427.

%K nonn

%O 0,2

%A _Alois P. Heinz_, Dec 09 2013