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A008964
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Number of elements of order <= 2 in group of n X n upper triangular matrices over GF(2).
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0
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1, 2, 6, 28, 192, 1952, 28800, 618496, 19132416, 853508096, 54584672256, 5007197863936, 656391329021952, 122997864673574912, 32863344789678981120, 12522141669213840867328, 6792468641646224590503936, 5245768641385222636392415232
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) = Sum_{r=0..floor(n/2)} f(n, r) where f(n, 0) = 1, f(1, r) = 0, f(n, r) = 2^r * f(n - 1, r) + (2^(n-r) - 2^(r-1)) * f(n - 1, r - 1). - Sean A. Irvine, Apr 15 2018
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Dikran Karagueuzian (dikran(AT)math.wisc.edu)
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EXTENSIONS
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STATUS
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approved
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