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Search: id:A109779
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| A109779 |
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n! sum{k=1 to n} H(k) (n+1-k)!, where H(k) = sum{j=1 to k} 1/j. |
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+0
1
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| 1, 7, 65, 930, 20814, 693732, 32312412, 1996944912, 157655618928, 15457109916960, 1841080739130720, 261722785741833600, 43758563047332750720, 8498963447183108148480, 1897379318289205012550400
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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E.g.f.: (hypergeom([1, 1], [], x)+x*hypergeom([2, 2], [], x))*ln(1-x)/(x-1). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Aug 17 2005
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MATHEMATICA
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a[n_] := n! * Sum[(n+1-k)! * Sum[1/j, {j, 1, k}], {k, 1, n}]; Table[a[n], {n, 1, 30}] (Propper)
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CROSSREFS
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Cf. A109780.
Sequence in context: A085283 A069015 A097819 this_sequence A065097 A122705 A024395
Adjacent sequences: A109776 A109777 A109778 this_sequence A109780 A109781 A109782
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet (qq-quet(AT)mindspring.com), Aug 13 2005
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EXTENSIONS
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More terms from Ryan Propper (rpropper(AT)stanford.edu), Sep 01 2005
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