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A232788
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A232773(n) / A006882(n): Permanent of the n X n matrix with elements [1,2,...,n^2], divided by n!!.
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2
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1, 1, 5, 150, 6932, 965380, 143299890, 51176650000, 16737737386944, 11806879466638656, 7023172771916784000, 8447153882019234307200, 8134080139379917205277696, 15176253254155788712392633600, 21875035292051870323313614135440, 59270306784445546617788929301760000
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OFFSET
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0,3
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COMMENTS
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Limit n->infinity a(n)^(1/n)/n^(5/2) = exp(-3/2). - Vaclav Kotesovec, Nov 08 2014
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LINKS
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MAPLE
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with(combinat):
a:= n-> (-1)^n *add(n^k *stirling1(n, n-k)*stirling1(n+1, k+1)
*(n-k)!* k!, k=0..n)/doublefactorial(n):
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MATHEMATICA
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Flatten[{1, Table[(-1)^n*Sum[n^k*StirlingS1[n, n-k]*StirlingS1[n+1, k+1]*(n-k)!*k!, {k, 0, n}]/n!!, {n, 1, 20}]}] (* Vaclav Kotesovec, Nov 08 2014 *)
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PROG
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(PARI) n->(-1)^n*sum(k=0, n, n^k*stirling(n, n-k)*stirling(n+1, k+1)*(n-k)!*k!)/A006882(n)
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CROSSREFS
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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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