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Search: id:A103997
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| A103997 |
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Square array T(M,N) read by antidiagonals: number of dimer tilings of a 2M x 2N Moebius strip. |
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6
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| 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, 4271, 123, 1, 1, 2131, 93127, 603126, 434657, 34276, 322, 1, 1, 7953, 1027207, 20721019, 46069729, 10894561, 276119, 843, 1, 1, 29681, 11332097
(list; table; graph; listen)
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OFFSET
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0,5
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LINKS
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W. T. Lu and F. Y. Fu, Dimer statistics on the Moebius strip and the Klein bottle
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FORMULA
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T(M, N) = Prod[m=1..M, Prod[n=1..N, 4sin(Pi*(4n-1)/(4N))^2 + 4cos(Pi*m/(2M+1))^2 ]].
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EXAMPLE
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1,1,1,1,1,1,1,
1,3,7,18,47,123,322,
1,11,71,539,4271,34276,276119,
1,41,769,17753,434657,10894561,275770321,
1,153,8449,603126,46069729,3625549353,289625349454,
1,571,93127,20721019,4974089647,1234496016491,312007855309063,
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CROSSREFS
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Rows include A005248, A103998. Columns include A001835.
Cf. A099390, A103999.
Adjacent sequences: A103994 A103995 A103996 this_sequence A103998 A103999 A104000
Sequence in context: A082466 A120270 A113711 this_sequence A013561 A111473 A067402
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KEYWORD
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nonn,tabl
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AUTHOR
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Ralf Stephan, Feb 26 2005
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