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A058806
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n! H_n(n) where H_0(n) = 1/n, H_m(n) = sum{k=1 to n} H_{m-1}(k).
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0
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1, 5, 47, 638, 11274, 245004, 6314664, 188204400, 6366517200, 240947474400, 10086271796160, 462688566802560, 23080457713017600, 1243853764482470400, 72018614888670643200, 4458392682933188966400
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| a(1) = 1; a(n) = a(n-1) 2 (2n-1) - (2n-3)!/(n-1)!.
a(n) = (2*n)!/(4*n!)*(Psi(n+1/2)-Psi(n)+2*ln(2)). - Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 22 2005
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EXAMPLE
| a(3) = 3! (1 +(1 +(1 +1/2)) +(1 +(1 +1/2) +(1 +1/2 +1/3))) = 47.
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CROSSREFS
| Sequence in context: A124450 A136023 A074192 * A006902 A180254 A127696
Adjacent sequences: A058803 A058804 A058805 * A058807 A058808 A058809
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KEYWORD
| easy,nonn
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AUTHOR
| Leroy Quet Jan 02 2001
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