Geodesic
Domino tilings and products of Fibonacci and Pell numbers
Journal of integer sequences, Tome 5 (2002) no. 1
In this brief note, we prove a result which was "accidentally" found thanks to Neil Sloane's Online Encyclopedia of Integer Sequences. Namely, we prove via elementary techniques that the number of domino tilings of the graph W_4 x P_n-1 equals f_n p_n, the product of the n'th Fibonacci number and the n'th Pell number.
Classification : 11B37, 11B39
Keywords: domino tilings, Fibonacci numbers, pell numbers (Concerned with sequences , , and 
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     author = {Sellers,  James A.},
     title = {Domino tilings and products of {Fibonacci} and {Pell} numbers},
     journal = {Journal of integer sequences},
     year = {2002},
     volume = {5},
     number = {1},
     zbl = {1125.11011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2002__5_1_a5/}
}
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Sellers,  James A. Domino tilings and products of Fibonacci and Pell numbers. Journal of integer sequences, Tome 5 (2002) no. 1. http://geodesic.mathdoc.fr/item/JIS_2002__5_1_a5/