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%I #11 Dec 24 2019 08:32:26
%S 1,32,2293,217969,22734496,2441987149,264719566561,28778500622048,
%T 3131382012183077,340819280011906449,37097936406550231392,
%U 4038192819517826461181,439569960022854881087873,47848695174956866013911072,5208498569279829885262307157
%N Number of tilings of a 6 X n rectangle using polyominoes of shape I.
%C A polyomino of shape I is a rectangle of width 1.
%H Andrew Howroyd, <a href="/A254458/b254458.txt">Table of n, a(n) for n = 0..200</a>
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Polyomino">Polyomino</a>
%F G.f.: (1 - 153*x + 6777*x^2 - 132415*x^3 + 1336362*x^4 - 7606262*x^5 + 25527903*x^6 - 51325185*x^7 + 61507605*x^8 - 42648785*x^9 + 16029360*x^10 - 2890728*x^11 + 181440*x^12)/(1 - 185*x + 10404*x^2 - 259107*x^3 + 3361183*x^4 - 24886632*x^5 + 110360811*x^6 - 299572675*x^7 + 499926324*x^8 - 508443601*x^9 + 305734685*x^10 - 101727600*x^11 + 16409736*x^12 - 907200*x^13). - _Andrew Howroyd_, Dec 23 2019
%Y Column k=6 of A254414.
%K nonn
%O 0,2
%A _Alois P. Heinz_, Jan 30 2015