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Search: id:A101800
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| A101800 |
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a(n)= abs(det[A000166(i+j+1)]), i,j=0...n, is the absolute value of the Hankel determinant of order n+1 of the derangements numbers, cf. A000166. |
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1
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| 0, 1, 16, 2160, 4644864, 220962816000, 126311423016960000, 97655159393202733056000000, 2873961139404949958783139840000000000, 5118723340142578530942677236206891171840000000000
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OFFSET
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0,3
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COMMENT
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a(n) = abs(product( (p!)^2,p=0..n )*(n+1)!*LaguerreL(n+1,0,1)), n=0,1..., where LaguerreL(n,lambda,x) are generalized Laguerre polynomial.
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FORMULA
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a(n)=A055209(n)*A009940(n+1))
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CROSSREFS
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Cf. A000166, A055209, A009940, A101799.
Sequence in context: A086804 A121366 A065776 this_sequence A165126 A069443 A016876
Adjacent sequences: A101797 A101798 A101799 this_sequence A101801 A101802 A101803
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KEYWORD
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nonn
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AUTHOR
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Karol A. Penson (penson(AT)lptl.jussieu.fr), Dec 17 2004
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