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A299907
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Number of decomposable lonesum n X n (0,1) matrices.
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2
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1, 2, 16, 344, 13528, 833432, 73871416, 8893109864, 1394602938808, 275985896665592, 67227147723919096, 19756312865302785224, 6889612105281125091448, 2811911251972519547757272, 1327454489179890318710048056, 717555570945004782603934710824
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OFFSET
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0,2
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LINKS
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MATHEMATICA
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a[n_] := Sum[Binomial[j - 1 , k - 1 ]*j!^2*StirlingS2[n + 1, j + 1]^2/k!, {k, 0, n}, {j, k, n}]; Table[a[n], {n, 0, 15}] (* Jean-François Alcover, Feb 24 2018 *)
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CROSSREFS
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See A099594 for lonesum (0,1) matrices.
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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