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