|
Search: id:A109719
|
|
|
| A109719 |
|
Sum{k=1 to floor(n/2)} H_k *(n-k)!, where H_k = sum{j=1 to k} 1/j. |
|
+0
1
|
|
| 0, 1, 2, 9, 33, 167, 944, 6390, 49450, 434374, 4259184, 46122552, 546390012, 7027204428, 97489431360, 1450957014000, 23058303178896, 389666143681776, 6977203291635840, 131947560745672320, 2627899581335038560
(list; graph; listen)
|
|
|
OFFSET
|
1,3
|
|
|
LINKS
|
Leroy Quet, Home Page (listed in lieu of email address)
|
|
EXAMPLE
|
a(4)=H(1)*3!+H(2)*2!=1*6+(3/2)*2=6+3=9.
|
|
MAPLE
|
H:=k->sum(1/j, j=1..k): a:=n->sum(H(k)*(n-k)!, k=1..floor(n/2)): seq(a(n), n=1..24); (Deutsch)
|
|
CROSSREFS
|
Sequence in context: A150934 A150935 A150936 this_sequence A000524 A120989 A010763
Adjacent sequences: A109716 A109717 A109718 this_sequence A109720 A109721 A109722
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Leroy Quet Aug 09 2005
|
|
EXTENSIONS
|
More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Feb 03 2006
|
|
|
Search completed in 0.002 seconds
|
