Search: id:A103997
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%I A103997
%S A103997 1,1,1,1,3,1,1,11,7,1,1,41,71,18,1,1,153,769,539,47,1,1,571,8449,17753,
%T A103997 4271,123,1,1,2131,93127,603126,434657,34276,322,1,1,7953,1027207,
%U A103997 20721019,46069729,10894561,276119,843,1,1,29681,11332097
%N A103997 Square array T(M,N) read by antidiagonals: number of dimer tilings of 
               a 2M x 2N Moebius strip.
%H A103997 W. T. Lu and F. Y. Fu, <a href="http://arXiv.org/abs/cond-mat/9906154">
               Dimer statistics on the Moebius strip and the Klein bottle</a>
%F A103997 T(M, N) = Prod[m=1..M, Prod[n=1..N, 4sin(Pi*(4n-1)/(4N))^2 + 4cos(Pi*m/
               (2M+1))^2 ]].
%e A103997 1,1,1,1,1,1,1,
%e A103997 1,3,7,18,47,123,322,
%e A103997 1,11,71,539,4271,34276,276119,
%e A103997 1,41,769,17753,434657,10894561,275770321,
%e A103997 1,153,8449,603126,46069729,3625549353,289625349454,
%e A103997 1,571,93127,20721019,4974089647,1234496016491,312007855309063,
%Y A103997 Rows include A005248, A103998. Columns include A001835.
%Y A103997 Cf. A099390, A103999.
%Y A103997 Sequence in context: A082466 A120270 A113711 this_sequence A013561 A111473 
               A067402
%Y A103997 Adjacent sequences: A103994 A103995 A103996 this_sequence A103998 A103999 
               A104000
%K A103997 nonn,tabl
%O A103997 0,5
%A A103997 Ralf Stephan, Feb 26 2005

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