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Search: id:A095422
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| A095422 |
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Triangle read by rows: T(n,m) = number of m-block proper T_0-covers (without empty blocks and without multiple blocks) of a labeled n-set (n>=2, 2<=m<=2^n-2). |
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+0
3
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| 1, 3, 17, 15, 6, 1, 0, 128, 771, 1882, 2969, 3428, 3003, 2002, 1001, 364, 91, 14, 1, 0, 420, 12845, 108731, 539105, 1969355, 5790720, 14262105, 30019990, 54616835, 86490040, 119759185, 145422590, 155117515, 145422675, 119759850, 86493225
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OFFSET
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2,2
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FORMULA
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T(n, m) = Sum(Stirling1(n+1, i+1)*binomial(2^i-1, m)-Stirling1(n, i)*binomial(2^i-2, m-1), i=1..n).
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EXAMPLE
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1; 3,17,15,6,1; 0,128,771,1882,2969,3428,3003,2002,1001,364,91,14,1; ...
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CROSSREFS
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Cf. A095423(row sums), A095421.
Adjacent sequences: A095419 A095420 A095421 this_sequence A095423 A095424 A095425
Sequence in context: A088122 A087964 A120448 this_sequence A059189 A043066 A101144
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KEYWORD
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nonn,tabf
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AUTHOR
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Goran Kilibarda, Vladeta Jovovic (vladeta(AT)Eunet.yu), Jun 04 2004
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