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A095998 n! * (fractional part of n-th harmonic number). +0
1
0, 1, 5, 2, 34, 324, 2988, 28944, 300816, 3371040, 793440, 49438080, 1121696640, 21930773760, 416139897600, 7965912729600, 156343306291200, 3169866941337600, 66629845591142400, 1454242012231680000 (list; graph; listen)
OFFSET

1,3

LINKS

Leroy Quet, Home Page (listed in lieu of email address)

FORMULA

a(n) = n! * fractional part ( harmonic number (n)).

a(n) also equals n!*(sum{k=1 to n} 1/k) (mod n!). - Leroy Quet Mar 20 2008

MATHEMATICA

f[n_] := n!*FractionalPart[HarmonicNumber[n]]; Table[ f[n], {n, 22}]

CROSSREFS

Sequence in context: A100080 A117734 A007572 this_sequence A099612 A142599 A068566

Adjacent sequences: A095995 A095996 A095997 this_sequence A095999 A096000 A096001

KEYWORD

nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 19 2004, based on a suggestion from Leroy Quet, Jun 18 2004

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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