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Search: id:A088310
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| A088310 |
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Number of n X n (0,1)-matrices with all rows distinct and all columns distinct. |
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+0
5
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| 1, 2, 10, 264, 33864, 19158720, 44680224960, 413586858182400, 14960200449325582080, 2109063823453947981680640, 1162864344149083760773678387200, 2520991223487759548686737154649702400, 21598422878151131130336454273775859841843200, 734233037731110118818452425552296701963294284185600
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OFFSET
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0,2
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FORMULA
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a(n) = n! * Sum_{k=0..n} Stirling1(n, k)*binomial(2^k, n). - Vladeta Jovovic, Nov 07 2003.
a(n) = Sum(i=0..n) Sum(j=0..n) Stirling1(n, i) * Stirling1(n, j) * 2^(i*j). - Max Alekseyev, Nov 07 2003
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EXAMPLE
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a(2) = 10: 00/01, 00/10, 01/00, 01/10, 01/11, 10/00, 10/01, 10/11, 11/01, 11/10.
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CROSSREFS
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Cf. A088229, A088309.
Sequence in context: A156510 A159558 A001528 this_sequence A134473 A005154 A074056
Adjacent sequences: A088307 A088308 A088309 this_sequence A088311 A088312 A088313
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Nov 07 2003
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EXTENSIONS
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Suggested by Yuval Dekel, Nov 06, 2003; a(0)-a(5) from Edwin Clark, Nov 07, 2003
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