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A308677
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Kuba-Panholzer Table 2 pattern 312, 213 for Stirling permutation k = 2.
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0
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3, 23, 155, 1014, 6580, 42636, 276507, 1796300, 11692395, 76257675, 498286932, 3261636728, 21384163320, 140407901032, 923165093595, 6077239852824, 40052346318985, 264243349910925, 1745013401135235, 11533997779931550, 76298933599198800, 505113085597039920, 3346315941511650900
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OFFSET
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3,1
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LINKS
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FORMULA
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For k = 2, a(n) = binomial(n*k - 2k + n - 1, n - 1) - (1 / k(n - 1) + 1) binomial((k + 1)(n - 1)/(n - 1))
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MATHEMATICA
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With[{k = 2}, Table[Binomial[k n + n - 2 k - 1, n - 1] - (1/(k (n - 1) + 1)) Binomial[(k + 1) (n - 1), n - 1], {n, 3, 25}]]
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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