|
| |
|
|
A109779
|
|
n! sum{k=1 to n} H(k) (n+1-k)!, where H(k) = sum{j=1 to k} 1/j.
|
|
0
| |
|
|
1, 7, 65, 930, 20814, 693732, 32312412, 1996944912, 157655618928, 15457109916960, 1841080739130720, 261722785741833600, 43758563047332750720, 8498963447183108148480, 1897379318289205012550400
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
FORMULA
| E.g.f.: (hypergeom([1, 1], [], x)+x*hypergeom([2, 2], [], x))*ln(1-x)/(x-1). - Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 17 2005
|
|
|
MATHEMATICA
| a[n_] := n! * Sum[(n+1-k)! * Sum[1/j, {j, 1, k}], {k, 1, n}]; Table[a[n], {n, 1, 30}] (Propper)
|
|
|
CROSSREFS
| Cf. A109780.
Sequence in context: A069015 A097819 A152525 * A179880 A065097 A122705
Adjacent sequences: A109776 A109777 A109778 * A109780 A109781 A109782
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Leroy Quet Aug 13 2005
|
|
|
EXTENSIONS
| More terms from Ryan Propper (rpropper(AT)stanford.edu), Sep 01 2005
|
| |
|
|
